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Finding the Fourth Proportional to 187,398,695.20, 280,724,794.80 and 164,954,048.80

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Solution

The fourth proportional to 187,398,695.20, 280,724,794.80 and 164,954,048.80 is: 247,102,528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,398,695.20 : 280,724,794.80 = 164,954,048.80 : x
  2. Step 2: Convert to fraction form
    187,398,695.20/280,724,794.80 = 164,954,048.80/x
  3. Step 3: Cross multiply
    187,398,695.20x = 280,724,794.80 × 164,954,048.80
  4. Step 4: Simplify right side
    187,398,695.20x = 46,306,691,500,809,192
  5. Step 5: Solve for x
    x = 46,306,691,500,809,192/187,398,695.20
  6. Step 6: Final answer
    x = 247,102,528.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.