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Finding the Fourth Proportional to 122,451.31, 183,747.84 and 51,367.60

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Solution

The fourth proportional to 122,451.31, 183,747.84 and 51,367.60 is: 77,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,451.31 : 183,747.84 = 51,367.60 : x
  2. Step 2: Convert to fraction form
    122,451.31/183,747.84 = 51,367.60/x
  3. Step 3: Cross multiply
    122,451.31x = 183,747.84 × 51,367.60
  4. Step 4: Simplify right side
    122,451.31x = 9,438,685,545.98
  5. Step 5: Solve for x
    x = 9,438,685,545.98/122,451.31
  6. Step 6: Final answer
    x = 77,081.13

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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.