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Finding the Fourth Proportional to 237,882.83, 328,255.34 and 142,387.47

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Solution

The fourth proportional to 237,882.83, 328,255.34 and 142,387.47 is: 196,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,882.83 : 328,255.34 = 142,387.47 : x
  2. Step 2: Convert to fraction form
    237,882.83/328,255.34 = 142,387.47/x
  3. Step 3: Cross multiply
    237,882.83x = 328,255.34 × 142,387.47
  4. Step 4: Simplify right side
    237,882.83x = 46,739,446,664.65
  5. Step 5: Solve for x
    x = 46,739,446,664.65/237,882.83
  6. Step 6: Final answer
    x = 196,480.96

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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.