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Finding the Fourth Proportional to 141,681, 195,519.78 and 78,018.65

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Solution

The fourth proportional to 141,681, 195,519.78 and 78,018.65 is: 107,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,681 : 195,519.78 = 78,018.65 : x
  2. Step 2: Convert to fraction form
    141,681/195,519.78 = 78,018.65/x
  3. Step 3: Cross multiply
    141,681x = 195,519.78 × 78,018.65
  4. Step 4: Simplify right side
    141,681x = 15,254,188,306.30
  5. Step 5: Solve for x
    x = 15,254,188,306.30/141,681
  6. Step 6: Final answer
    x = 107,665.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.