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Finding the Fourth Proportional to 172,023.90, 258,035.85 and 132,657.90

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Solution

The fourth proportional to 172,023.90, 258,035.85 and 132,657.90 is: 198,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,023.90 : 258,035.85 = 132,657.90 : x
  2. Step 2: Convert to fraction form
    172,023.90/258,035.85 = 132,657.90/x
  3. Step 3: Cross multiply
    172,023.90x = 258,035.85 × 132,657.90
  4. Step 4: Simplify right side
    172,023.90x = 34,230,493,985.72
  5. Step 5: Solve for x
    x = 34,230,493,985.72/172,023.90
  6. Step 6: Final answer
    x = 198,986.85

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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.