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Finding the Fourth Proportional to 141,528, 195,306.76 and 77,864.44

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Solution

The fourth proportional to 141,528, 195,306.76 and 77,864.44 is: 107,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,528 : 195,306.76 = 77,864.44 : x
  2. Step 2: Convert to fraction form
    141,528/195,306.76 = 77,864.44/x
  3. Step 3: Cross multiply
    141,528x = 195,306.76 × 77,864.44
  4. Step 4: Simplify right side
    141,528x = 15,207,451,495.61
  5. Step 5: Solve for x
    x = 15,207,451,495.61/141,528
  6. Step 6: Final answer
    x = 107,451.89

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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.