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Finding the Fourth Proportional to 274,502.16, 411,476.04 and 132,138.36

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Solution

The fourth proportional to 274,502.16, 411,476.04 and 132,138.36 is: 198,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,502.16 : 411,476.04 = 132,138.36 : x
  2. Step 2: Convert to fraction form
    274,502.16/411,476.04 = 132,138.36/x
  3. Step 3: Cross multiply
    274,502.16x = 411,476.04 × 132,138.36
  4. Step 4: Simplify right side
    274,502.16x = 54,371,769,104.89
  5. Step 5: Solve for x
    x = 54,371,769,104.89/274,502.16
  6. Step 6: Final answer
    x = 198,074.10

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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.