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Finding the Fourth Proportional to 125,970.98, 188,034.81 and 111,024.73

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Solution

The fourth proportional to 125,970.98, 188,034.81 and 111,024.73 is: 165,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,970.98 : 188,034.81 = 111,024.73 : x
  2. Step 2: Convert to fraction form
    125,970.98/188,034.81 = 111,024.73/x
  3. Step 3: Cross multiply
    125,970.98x = 188,034.81 × 111,024.73
  4. Step 4: Simplify right side
    125,970.98x = 20,876,513,540.76
  5. Step 5: Solve for x
    x = 20,876,513,540.76/125,970.98
  6. Step 6: Final answer
    x = 165,724.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.