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Finding the Fourth Proportional to 141,861.16, 195,767.10 and 77,330.38

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Solution

The fourth proportional to 141,861.16, 195,767.10 and 77,330.38 is: 106,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,861.16 : 195,767.10 = 77,330.38 : x
  2. Step 2: Convert to fraction form
    141,861.16/195,767.10 = 77,330.38/x
  3. Step 3: Cross multiply
    141,861.16x = 195,767.10 × 77,330.38
  4. Step 4: Simplify right side
    141,861.16x = 15,138,744,234.50
  5. Step 5: Solve for x
    x = 15,138,744,234.50/141,861.16
  6. Step 6: Final answer
    x = 106,715.22

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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.