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Finding the Fourth Proportional to 296,044.88, 408,545.16 and 161,906

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Solution

The fourth proportional to 296,044.88, 408,545.16 and 161,906 is: 223,432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,044.88 : 408,545.16 = 161,906 : x
  2. Step 2: Convert to fraction form
    296,044.88/408,545.16 = 161,906/x
  3. Step 3: Cross multiply
    296,044.88x = 408,545.16 × 161,906
  4. Step 4: Simplify right side
    296,044.88x = 66,145,912,674.96
  5. Step 5: Solve for x
    x = 66,145,912,674.96/296,044.88
  6. Step 6: Final answer
    x = 223,432.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.