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Finding the Fourth Proportional to 141,526.88, 195,310.12 and 77,864.86

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Solution

The fourth proportional to 141,526.88, 195,310.12 and 77,864.86 is: 107,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,526.88 : 195,310.12 = 77,864.86 : x
  2. Step 2: Convert to fraction form
    141,526.88/195,310.12 = 77,864.86/x
  3. Step 3: Cross multiply
    141,526.88x = 195,310.12 × 77,864.86
  4. Step 4: Simplify right side
    141,526.88x = 15,207,795,150.38
  5. Step 5: Solve for x
    x = 15,207,795,150.38/141,526.88
  6. Step 6: Final answer
    x = 107,455.17

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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.