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Finding the Fourth Proportional to 101,432.83, 152,163.08 and 42,254.66

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Solution

The fourth proportional to 101,432.83, 152,163.08 and 42,254.66 is: 63,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,432.83 : 152,163.08 = 42,254.66 : x
  2. Step 2: Convert to fraction form
    101,432.83/152,163.08 = 42,254.66/x
  3. Step 3: Cross multiply
    101,432.83x = 152,163.08 × 42,254.66
  4. Step 4: Simplify right side
    101,432.83x = 6,429,598,449.14
  5. Step 5: Solve for x
    x = 6,429,598,449.14/101,432.83
  6. Step 6: Final answer
    x = 63,387.75

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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.