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Finding the Fourth Proportional to 122,174.73, 183,290.78 and 37,930.55

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Solution

The fourth proportional to 122,174.73, 183,290.78 and 37,930.55 is: 56,904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,174.73 : 183,290.78 = 37,930.55 : x
  2. Step 2: Convert to fraction form
    122,174.73/183,290.78 = 37,930.55/x
  3. Step 3: Cross multiply
    122,174.73x = 183,290.78 × 37,930.55
  4. Step 4: Simplify right side
    122,174.73x = 6,952,319,273.70
  5. Step 5: Solve for x
    x = 6,952,319,273.70/122,174.73
  6. Step 6: Final answer
    x = 56,904.72

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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.