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Finding the Fourth Proportional to 172,023.40, 258,035.10 and 132,657.40

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Solution

The fourth proportional to 172,023.40, 258,035.10 and 132,657.40 is: 198,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,023.40 : 258,035.10 = 132,657.40 : x
  2. Step 2: Convert to fraction form
    172,023.40/258,035.10 = 132,657.40/x
  3. Step 3: Cross multiply
    172,023.40x = 258,035.10 × 132,657.40
  4. Step 4: Simplify right side
    172,023.40x = 34,230,265,474.74
  5. Step 5: Solve for x
    x = 34,230,265,474.74/172,023.40
  6. Step 6: Final answer
    x = 198,986.10

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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.