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Finding the Fourth Proportional to 83,180, 114,788.40 and 45,454.16

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Solution

The fourth proportional to 83,180, 114,788.40 and 45,454.16 is: 62,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,180 : 114,788.40 = 45,454.16 : x
  2. Step 2: Convert to fraction form
    83,180/114,788.40 = 45,454.16/x
  3. Step 3: Cross multiply
    83,180x = 114,788.40 × 45,454.16
  4. Step 4: Simplify right side
    83,180x = 5,217,610,299.74
  5. Step 5: Solve for x
    x = 5,217,610,299.74/83,180
  6. Step 6: Final answer
    x = 62,726.74

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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.