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Finding the Fourth Proportional to 295,712.10, 408,082.80 and 159,746.04

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Solution

The fourth proportional to 295,712.10, 408,082.80 and 159,746.04 is: 220,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,712.10 : 408,082.80 = 159,746.04 : x
  2. Step 2: Convert to fraction form
    295,712.10/408,082.80 = 159,746.04/x
  3. Step 3: Cross multiply
    295,712.10x = 408,082.80 × 159,746.04
  4. Step 4: Simplify right side
    295,712.10x = 65,189,611,292.11
  5. Step 5: Solve for x
    x = 65,189,611,292.11/295,712.10
  6. Step 6: Final answer
    x = 220,449.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.