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Finding the Fourth Proportional to 141,443.64, 195,193.62 and 77,781.88

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Solution

The fourth proportional to 141,443.64, 195,193.62 and 77,781.88 is: 107,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,443.64 : 195,193.62 = 77,781.88 : x
  2. Step 2: Convert to fraction form
    141,443.64/195,193.62 = 77,781.88/x
  3. Step 3: Cross multiply
    141,443.64x = 195,193.62 × 77,781.88
  4. Step 4: Simplify right side
    141,443.64x = 15,182,526,727.61
  5. Step 5: Solve for x
    x = 15,182,526,727.61/141,443.64
  6. Step 6: Final answer
    x = 107,339.76

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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.