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Finding the Fourth Proportional to 180,502.48, 271,002.18 and 91,816

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Solution

The fourth proportional to 180,502.48, 271,002.18 and 91,816 is: 137,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,502.48 : 271,002.18 = 91,816 : x
  2. Step 2: Convert to fraction form
    180,502.48/271,002.18 = 91,816/x
  3. Step 3: Cross multiply
    180,502.48x = 271,002.18 × 91,816
  4. Step 4: Simplify right side
    180,502.48x = 24,882,336,158.88
  5. Step 5: Solve for x
    x = 24,882,336,158.88/180,502.48
  6. Step 6: Final answer
    x = 137,850.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.