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Finding the Fourth Proportional to 129,154.97, 193,697.33 and 81,698.83

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Solution

The fourth proportional to 129,154.97, 193,697.33 and 81,698.83 is: 122,526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,154.97 : 193,697.33 = 81,698.83 : x
  2. Step 2: Convert to fraction form
    129,154.97/193,697.33 = 81,698.83/x
  3. Step 3: Cross multiply
    129,154.97x = 193,697.33 × 81,698.83
  4. Step 4: Simplify right side
    129,154.97x = 15,824,844,342.39
  5. Step 5: Solve for x
    x = 15,824,844,342.39/129,154.97
  6. Step 6: Final answer
    x = 122,526.02

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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.