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Finding the Fourth Proportional to 234,193.68, 351,339.12 and 93,963.24

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Solution

The fourth proportional to 234,193.68, 351,339.12 and 93,963.24 is: 140,964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,193.68 : 351,339.12 = 93,963.24 : x
  2. Step 2: Convert to fraction form
    234,193.68/351,339.12 = 93,963.24/x
  3. Step 3: Cross multiply
    234,193.68x = 351,339.12 × 93,963.24
  4. Step 4: Simplify right side
    234,193.68x = 33,012,962,053.95
  5. Step 5: Solve for x
    x = 33,012,962,053.95/234,193.68
  6. Step 6: Final answer
    x = 140,964.36

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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.