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Finding the Fourth Proportional to 97,493.90, 146,143.95 and 67,849.44

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Solution

The fourth proportional to 97,493.90, 146,143.95 and 67,849.44 is: 101,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,493.90 : 146,143.95 = 67,849.44 : x
  2. Step 2: Convert to fraction form
    97,493.90/146,143.95 = 67,849.44/x
  3. Step 3: Cross multiply
    97,493.90x = 146,143.95 × 67,849.44
  4. Step 4: Simplify right side
    97,493.90x = 9,915,785,166.89
  5. Step 5: Solve for x
    x = 9,915,785,166.89/97,493.90
  6. Step 6: Final answer
    x = 101,706.73

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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.