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Finding the Fourth Proportional to 230,467.48, 318,031.86 and 128,489.56

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Solution

The fourth proportional to 230,467.48, 318,031.86 and 128,489.56 is: 177,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,467.48 : 318,031.86 = 128,489.56 : x
  2. Step 2: Convert to fraction form
    230,467.48/318,031.86 = 128,489.56/x
  3. Step 3: Cross multiply
    230,467.48x = 318,031.86 × 128,489.56
  4. Step 4: Simplify right side
    230,467.48x = 40,863,773,757.38
  5. Step 5: Solve for x
    x = 40,863,773,757.38/230,467.48
  6. Step 6: Final answer
    x = 177,308.20

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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.