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Finding the Fourth Proportional to 234,118.80, 351,142.56 and 76,347

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Solution

The fourth proportional to 234,118.80, 351,142.56 and 76,347 is: 114,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,118.80 : 351,142.56 = 76,347 : x
  2. Step 2: Convert to fraction form
    234,118.80/351,142.56 = 76,347/x
  3. Step 3: Cross multiply
    234,118.80x = 351,142.56 × 76,347
  4. Step 4: Simplify right side
    234,118.80x = 26,808,681,028.32
  5. Step 5: Solve for x
    x = 26,808,681,028.32/234,118.80
  6. Step 6: Final answer
    x = 114,508.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.