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Finding the Fourth Proportional to 183,257.92, 274,854.40 and 83,394.88

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Solution

The fourth proportional to 183,257.92, 274,854.40 and 83,394.88 is: 125,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,257.92 : 274,854.40 = 83,394.88 : x
  2. Step 2: Convert to fraction form
    183,257.92/274,854.40 = 83,394.88/x
  3. Step 3: Cross multiply
    183,257.92x = 274,854.40 × 83,394.88
  4. Step 4: Simplify right side
    183,257.92x = 22,921,449,705.47
  5. Step 5: Solve for x
    x = 22,921,449,705.47/183,257.92
  6. Step 6: Final answer
    x = 125,077.54

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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.