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Finding the Fourth Proportional to 186,781.46, 257,757.83 and 101,897.91

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Solution

The fourth proportional to 186,781.46, 257,757.83 and 101,897.91 is: 140,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,781.46 : 257,757.83 = 101,897.91 : x
  2. Step 2: Convert to fraction form
    186,781.46/257,757.83 = 101,897.91/x
  3. Step 3: Cross multiply
    186,781.46x = 257,757.83 × 101,897.91
  4. Step 4: Simplify right side
    186,781.46x = 26,264,984,417.88
  5. Step 5: Solve for x
    x = 26,264,984,417.88/186,781.46
  6. Step 6: Final answer
    x = 140,618.80

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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.