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Finding the Fourth Proportional to 132,423.70, 198,468.15 and 53,493.70

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Solution

The fourth proportional to 132,423.70, 198,468.15 and 53,493.70 is: 80,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,423.70 : 198,468.15 = 53,493.70 : x
  2. Step 2: Convert to fraction form
    132,423.70/198,468.15 = 53,493.70/x
  3. Step 3: Cross multiply
    132,423.70x = 198,468.15 × 53,493.70
  4. Step 4: Simplify right side
    132,423.70x = 10,616,795,675.66
  5. Step 5: Solve for x
    x = 10,616,795,675.66/132,423.70
  6. Step 6: Final answer
    x = 80,172.93

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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.