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Finding the Fourth Proportional to 260,359.24, 359,304.24 and 144,074.04

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Solution

The fourth proportional to 260,359.24, 359,304.24 and 144,074.04 is: 198,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,359.24 : 359,304.24 = 144,074.04 : x
  2. Step 2: Convert to fraction form
    260,359.24/359,304.24 = 144,074.04/x
  3. Step 3: Cross multiply
    260,359.24x = 359,304.24 × 144,074.04
  4. Step 4: Simplify right side
    260,359.24x = 51,766,413,445.93
  5. Step 5: Solve for x
    x = 51,766,413,445.93/260,359.24
  6. Step 6: Final answer
    x = 198,826.87

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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.