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Finding the Fourth Proportional to 137,241.75, 205,719.90 and 53,059.73

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Solution

The fourth proportional to 137,241.75, 205,719.90 and 53,059.73 is: 79,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,241.75 : 205,719.90 = 53,059.73 : x
  2. Step 2: Convert to fraction form
    137,241.75/205,719.90 = 53,059.73/x
  3. Step 3: Cross multiply
    137,241.75x = 205,719.90 × 53,059.73
  4. Step 4: Simplify right side
    137,241.75x = 10,915,442,279.23
  5. Step 5: Solve for x
    x = 10,915,442,279.23/137,241.75
  6. Step 6: Final answer
    x = 79,534.42

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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.