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Finding the Fourth Proportional to 261,909.38, 361,425.36 and 160,105.34

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Solution

The fourth proportional to 261,909.38, 361,425.36 and 160,105.34 is: 220,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,909.38 : 361,425.36 = 160,105.34 : x
  2. Step 2: Convert to fraction form
    261,909.38/361,425.36 = 160,105.34/x
  3. Step 3: Cross multiply
    261,909.38x = 361,425.36 × 160,105.34
  4. Step 4: Simplify right side
    261,909.38x = 57,866,130,147.42
  5. Step 5: Solve for x
    x = 57,866,130,147.42/261,909.38
  6. Step 6: Final answer
    x = 220,939.51

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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.