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Finding the Fourth Proportional to 310,396.92, 465,205.74 and 132,695.10

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Solution

The fourth proportional to 310,396.92, 465,205.74 and 132,695.10 is: 198,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,396.92 : 465,205.74 = 132,695.10 : x
  2. Step 2: Convert to fraction form
    310,396.92/465,205.74 = 132,695.10/x
  3. Step 3: Cross multiply
    310,396.92x = 465,205.74 × 132,695.10
  4. Step 4: Simplify right side
    310,396.92x = 61,730,522,189.87
  5. Step 5: Solve for x
    x = 61,730,522,189.87/310,396.92
  6. Step 6: Final answer
    x = 198,876.08

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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.