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Finding the Fourth Proportional to 109,464.59, 151,061.28 and 59,163.59

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Solution

The fourth proportional to 109,464.59, 151,061.28 and 59,163.59 is: 81,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,464.59 : 151,061.28 = 59,163.59 : x
  2. Step 2: Convert to fraction form
    109,464.59/151,061.28 = 59,163.59/x
  3. Step 3: Cross multiply
    109,464.59x = 151,061.28 × 59,163.59
  4. Step 4: Simplify right side
    109,464.59x = 8,937,327,634.80
  5. Step 5: Solve for x
    x = 8,937,327,634.80/109,464.59
  6. Step 6: Final answer
    x = 81,645.83

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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.