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Finding the Fourth Proportional to 187,833.68, 280,094.98 and 186,149.20

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Solution

The fourth proportional to 187,833.68, 280,094.98 and 186,149.20 is: 277,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,833.68 : 280,094.98 = 186,149.20 : x
  2. Step 2: Convert to fraction form
    187,833.68/280,094.98 = 186,149.20/x
  3. Step 3: Cross multiply
    187,833.68x = 280,094.98 × 186,149.20
  4. Step 4: Simplify right side
    187,833.68x = 52,139,456,451.02
  5. Step 5: Solve for x
    x = 52,139,456,451.02/187,833.68
  6. Step 6: Final answer
    x = 277,583.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.