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Finding the Fourth Proportional to 137,248.20, 189,346.12 and 83,524.40

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Solution

The fourth proportional to 137,248.20, 189,346.12 and 83,524.40 is: 115,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,248.20 : 189,346.12 = 83,524.40 : x
  2. Step 2: Convert to fraction form
    137,248.20/189,346.12 = 83,524.40/x
  3. Step 3: Cross multiply
    137,248.20x = 189,346.12 × 83,524.40
  4. Step 4: Simplify right side
    137,248.20x = 15,815,021,065.33
  5. Step 5: Solve for x
    x = 15,815,021,065.33/137,248.20
  6. Step 6: Final answer
    x = 115,229.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.