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Finding the Fourth Proportional to 234,142.92, 351,215.28 and 56,649.65

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Solution

The fourth proportional to 234,142.92, 351,215.28 and 56,649.65 is: 84,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,142.92 : 351,215.28 = 56,649.65 : x
  2. Step 2: Convert to fraction form
    234,142.92/351,215.28 = 56,649.65/x
  3. Step 3: Cross multiply
    234,142.92x = 351,215.28 × 56,649.65
  4. Step 4: Simplify right side
    234,142.92x = 19,896,220,930.58
  5. Step 5: Solve for x
    x = 19,896,220,930.58/234,142.92
  6. Step 6: Final answer
    x = 84,974.69

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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.