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Finding the Fourth Proportional to 186,780.88, 257,747.12 and 106,197.04

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Solution

The fourth proportional to 186,780.88, 257,747.12 and 106,197.04 is: 146,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,780.88 : 257,747.12 = 106,197.04 : x
  2. Step 2: Convert to fraction form
    186,780.88/257,747.12 = 106,197.04/x
  3. Step 3: Cross multiply
    186,780.88x = 257,747.12 × 106,197.04
  4. Step 4: Simplify right side
    186,780.88x = 27,371,981,212.52
  5. Step 5: Solve for x
    x = 27,371,981,212.52/186,780.88
  6. Step 6: Final answer
    x = 146,545.95

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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.