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Finding the Fourth Proportional to 148,951.62, 223,301.76 and 64,648.26

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Solution

The fourth proportional to 148,951.62, 223,301.76 and 64,648.26 is: 96,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,951.62 : 223,301.76 = 64,648.26 : x
  2. Step 2: Convert to fraction form
    148,951.62/223,301.76 = 64,648.26/x
  3. Step 3: Cross multiply
    148,951.62x = 223,301.76 × 64,648.26
  4. Step 4: Simplify right side
    148,951.62x = 14,436,070,238.94
  5. Step 5: Solve for x
    x = 14,436,070,238.94/148,951.62
  6. Step 6: Final answer
    x = 96,917.85

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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.