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Finding the Fourth Proportional to 181,264.84, 271,924.92 and 92,469.90

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Solution

The fourth proportional to 181,264.84, 271,924.92 and 92,469.90 is: 138,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,264.84 : 271,924.92 = 92,469.90 : x
  2. Step 2: Convert to fraction form
    181,264.84/271,924.92 = 92,469.90/x
  3. Step 3: Cross multiply
    181,264.84x = 271,924.92 × 92,469.90
  4. Step 4: Simplify right side
    181,264.84x = 25,144,870,159.91
  5. Step 5: Solve for x
    x = 25,144,870,159.91/181,264.84
  6. Step 6: Final answer
    x = 138,718.96

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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.