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Finding the Fourth Proportional to 123,353.74, 185,042.22 and 34,606.90

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Solution

The fourth proportional to 123,353.74, 185,042.22 and 34,606.90 is: 51,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,353.74 : 185,042.22 = 34,606.90 : x
  2. Step 2: Convert to fraction form
    123,353.74/185,042.22 = 34,606.90/x
  3. Step 3: Cross multiply
    123,353.74x = 185,042.22 × 34,606.90
  4. Step 4: Simplify right side
    123,353.74x = 6,403,737,603.32
  5. Step 5: Solve for x
    x = 6,403,737,603.32/123,353.74
  6. Step 6: Final answer
    x = 51,913.61

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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.