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Finding the Fourth Proportional to 123,471.10, 185,122.38 and 59,395.42

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Solution

The fourth proportional to 123,471.10, 185,122.38 and 59,395.42 is: 89,052.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,471.10 : 185,122.38 = 59,395.42 : x
  2. Step 2: Convert to fraction form
    123,471.10/185,122.38 = 59,395.42/x
  3. Step 3: Cross multiply
    123,471.10x = 185,122.38 × 59,395.42
  4. Step 4: Simplify right side
    123,471.10x = 10,995,421,511.50
  5. Step 5: Solve for x
    x = 10,995,421,511.50/123,471.10
  6. Step 6: Final answer
    x = 89,052.59

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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.