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Finding the Fourth Proportional to 229,002.58, 343,562.46 and 71,232.40

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Solution

The fourth proportional to 229,002.58, 343,562.46 and 71,232.40 is: 106,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,002.58 : 343,562.46 = 71,232.40 : x
  2. Step 2: Convert to fraction form
    229,002.58/343,562.46 = 71,232.40/x
  3. Step 3: Cross multiply
    229,002.58x = 343,562.46 × 71,232.40
  4. Step 4: Simplify right side
    229,002.58x = 24,472,778,575.70
  5. Step 5: Solve for x
    x = 24,472,778,575.70/229,002.58
  6. Step 6: Final answer
    x = 106,866.82

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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.