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Finding the Fourth Proportional to 238,989.32, 329,809.42 and 137,031.38

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Solution

The fourth proportional to 238,989.32, 329,809.42 and 137,031.38 is: 189,105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,989.32 : 329,809.42 = 137,031.38 : x
  2. Step 2: Convert to fraction form
    238,989.32/329,809.42 = 137,031.38/x
  3. Step 3: Cross multiply
    238,989.32x = 329,809.42 × 137,031.38
  4. Step 4: Simplify right side
    238,989.32x = 45,194,239,959.60
  5. Step 5: Solve for x
    x = 45,194,239,959.60/238,989.32
  6. Step 6: Final answer
    x = 189,105.69

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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.