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Finding the Fourth Proportional to 132,446.40, 198,794.46 and 48,287.91

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Solution

The fourth proportional to 132,446.40, 198,794.46 and 48,287.91 is: 72,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,446.40 : 198,794.46 = 48,287.91 : x
  2. Step 2: Convert to fraction form
    132,446.40/198,794.46 = 48,287.91/x
  3. Step 3: Cross multiply
    132,446.40x = 198,794.46 × 48,287.91
  4. Step 4: Simplify right side
    132,446.40x = 9,599,368,992.98
  5. Step 5: Solve for x
    x = 9,599,368,992.98/132,446.40
  6. Step 6: Final answer
    x = 72,477.39

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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.