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Finding the Fourth Proportional to 229,647.40, 344,373.90 and 71,833.48

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Solution

The fourth proportional to 229,647.40, 344,373.90 and 71,833.48 is: 107,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,647.40 : 344,373.90 = 71,833.48 : x
  2. Step 2: Convert to fraction form
    229,647.40/344,373.90 = 71,833.48/x
  3. Step 3: Cross multiply
    229,647.40x = 344,373.90 × 71,833.48
  4. Step 4: Simplify right side
    229,647.40x = 24,737,575,658.17
  5. Step 5: Solve for x
    x = 24,737,575,658.17/229,647.40
  6. Step 6: Final answer
    x = 107,719.82

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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.