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Finding the Fourth Proportional to 234,475.76, 323,575.43 and 127,045.78

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Solution

The fourth proportional to 234,475.76, 323,575.43 and 127,045.78 is: 175,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,475.76 : 323,575.43 = 127,045.78 : x
  2. Step 2: Convert to fraction form
    234,475.76/323,575.43 = 127,045.78/x
  3. Step 3: Cross multiply
    234,475.76x = 323,575.43 × 127,045.78
  4. Step 4: Simplify right side
    234,475.76x = 41,108,891,449.02
  5. Step 5: Solve for x
    x = 41,108,891,449.02/234,475.76
  6. Step 6: Final answer
    x = 175,322.56

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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.