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Finding the Fourth Proportional to 280,500.38, 387,123.64 and 157,996.76

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Solution

The fourth proportional to 280,500.38, 387,123.64 and 157,996.76 is: 218,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,500.38 : 387,123.64 = 157,996.76 : x
  2. Step 2: Convert to fraction form
    280,500.38/387,123.64 = 157,996.76/x
  3. Step 3: Cross multiply
    280,500.38x = 387,123.64 × 157,996.76
  4. Step 4: Simplify right side
    280,500.38x = 61,164,280,839.41
  5. Step 5: Solve for x
    x = 61,164,280,839.41/280,500.38
  6. Step 6: Final answer
    x = 218,054.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.