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Finding the Fourth Proportional to 152,071.80, 209,568.78 and 132,165.24

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Solution

The fourth proportional to 152,071.80, 209,568.78 and 132,165.24 is: 182,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,071.80 : 209,568.78 = 132,165.24 : x
  2. Step 2: Convert to fraction form
    152,071.80/209,568.78 = 132,165.24/x
  3. Step 3: Cross multiply
    152,071.80x = 209,568.78 × 132,165.24
  4. Step 4: Simplify right side
    152,071.80x = 27,697,708,105.21
  5. Step 5: Solve for x
    x = 27,697,708,105.21/152,071.80
  6. Step 6: Final answer
    x = 182,135.73

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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.