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Finding the Fourth Proportional to 109,781.64, 164,892.90 and 65,494.92

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Solution

The fourth proportional to 109,781.64, 164,892.90 and 65,494.92 is: 98,373.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,781.64 : 164,892.90 = 65,494.92 : x
  2. Step 2: Convert to fraction form
    109,781.64/164,892.90 = 65,494.92/x
  3. Step 3: Cross multiply
    109,781.64x = 164,892.90 × 65,494.92
  4. Step 4: Simplify right side
    109,781.64x = 10,799,647,294.07
  5. Step 5: Solve for x
    x = 10,799,647,294.07/109,781.64
  6. Step 6: Final answer
    x = 98,373.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.