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Finding the Fourth Proportional to 260,686.55, 391,177.62 and 140,741.90

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Solution

The fourth proportional to 260,686.55, 391,177.62 and 140,741.90 is: 211,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,686.55 : 391,177.62 = 140,741.90 : x
  2. Step 2: Convert to fraction form
    260,686.55/391,177.62 = 140,741.90/x
  3. Step 3: Cross multiply
    260,686.55x = 391,177.62 × 140,741.90
  4. Step 4: Simplify right side
    260,686.55x = 55,055,079,520.39
  5. Step 5: Solve for x
    x = 55,055,079,520.39/260,686.55
  6. Step 6: Final answer
    x = 211,192.64

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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.