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Finding the Fourth Proportional to 237,384, 327,590.64 and 129,954.96

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Solution

The fourth proportional to 237,384, 327,590.64 and 129,954.96 is: 179,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,384 : 327,590.64 = 129,954.96 : x
  2. Step 2: Convert to fraction form
    237,384/327,590.64 = 129,954.96/x
  3. Step 3: Cross multiply
    237,384x = 327,590.64 × 129,954.96
  4. Step 4: Simplify right side
    237,384x = 42,572,028,517.57
  5. Step 5: Solve for x
    x = 42,572,028,517.57/237,384
  6. Step 6: Final answer
    x = 179,338.24

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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.