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Finding the Fourth Proportional to 152,397.88, 210,306.85 and 84,414.63

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Solution

The fourth proportional to 152,397.88, 210,306.85 and 84,414.63 is: 116,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,397.88 : 210,306.85 = 84,414.63 : x
  2. Step 2: Convert to fraction form
    152,397.88/210,306.85 = 84,414.63/x
  3. Step 3: Cross multiply
    152,397.88x = 210,306.85 × 84,414.63
  4. Step 4: Simplify right side
    152,397.88x = 17,752,975,034.73
  5. Step 5: Solve for x
    x = 17,752,975,034.73/152,397.88
  6. Step 6: Final answer
    x = 116,490.96

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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.