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Finding the Fourth Proportional to 187,112.32, 280,664.64 and 46,871.68

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Solution

The fourth proportional to 187,112.32, 280,664.64 and 46,871.68 is: 70,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,112.32 : 280,664.64 = 46,871.68 : x
  2. Step 2: Convert to fraction form
    187,112.32/280,664.64 = 46,871.68/x
  3. Step 3: Cross multiply
    187,112.32x = 280,664.64 × 46,871.68
  4. Step 4: Simplify right side
    187,112.32x = 13,155,223,193.40
  5. Step 5: Solve for x
    x = 13,155,223,193.40/187,112.32
  6. Step 6: Final answer
    x = 70,306.56

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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.