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Finding the Fourth Proportional to 186,505.74, 257,377.98 and 101,622.78

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Solution

The fourth proportional to 186,505.74, 257,377.98 and 101,622.78 is: 140,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,505.74 : 257,377.98 = 101,622.78 : x
  2. Step 2: Convert to fraction form
    186,505.74/257,377.98 = 101,622.78/x
  3. Step 3: Cross multiply
    186,505.74x = 257,377.98 × 101,622.78
  4. Step 4: Simplify right side
    186,505.74x = 26,155,465,838.38
  5. Step 5: Solve for x
    x = 26,155,465,838.38/186,505.74
  6. Step 6: Final answer
    x = 140,239.47

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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.