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Finding the Fourth Proportional to 186,744.66, 257,711.14 and 101,864.76

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Solution

The fourth proportional to 186,744.66, 257,711.14 and 101,864.76 is: 140,575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,744.66 : 257,711.14 = 101,864.76 : x
  2. Step 2: Convert to fraction form
    186,744.66/257,711.14 = 101,864.76/x
  3. Step 3: Cross multiply
    186,744.66x = 257,711.14 × 101,864.76
  4. Step 4: Simplify right side
    186,744.66x = 26,251,683,425.43
  5. Step 5: Solve for x
    x = 26,251,683,425.43/186,744.66
  6. Step 6: Final answer
    x = 140,575.28

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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.