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Finding the Fourth Proportional to 237,814.80, 328,174.56 and 142,265.04

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Solution

The fourth proportional to 237,814.80, 328,174.56 and 142,265.04 is: 196,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,814.80 : 328,174.56 = 142,265.04 : x
  2. Step 2: Convert to fraction form
    237,814.80/328,174.56 = 142,265.04/x
  3. Step 3: Cross multiply
    237,814.80x = 328,174.56 × 142,265.04
  4. Step 4: Simplify right side
    237,814.80x = 46,687,766,905.38
  5. Step 5: Solve for x
    x = 46,687,766,905.38/237,814.80
  6. Step 6: Final answer
    x = 196,319.85

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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.