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Finding the Fourth Proportional to 167,057.68, 250,575.18 and 78,331

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Solution

The fourth proportional to 167,057.68, 250,575.18 and 78,331 is: 117,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,057.68 : 250,575.18 = 78,331 : x
  2. Step 2: Convert to fraction form
    167,057.68/250,575.18 = 78,331/x
  3. Step 3: Cross multiply
    167,057.68x = 250,575.18 × 78,331
  4. Step 4: Simplify right side
    167,057.68x = 19,627,804,424.58
  5. Step 5: Solve for x
    x = 19,627,804,424.58/167,057.68
  6. Step 6: Final answer
    x = 117,491.18

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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.