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Finding the Fourth Proportional to 260,687.51, 391,038.11 and 83,194.39

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Solution

The fourth proportional to 260,687.51, 391,038.11 and 83,194.39 is: 124,793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,687.51 : 391,038.11 = 83,194.39 : x
  2. Step 2: Convert to fraction form
    260,687.51/391,038.11 = 83,194.39/x
  3. Step 3: Cross multiply
    260,687.51x = 391,038.11 × 83,194.39
  4. Step 4: Simplify right side
    260,687.51x = 32,532,177,179.02
  5. Step 5: Solve for x
    x = 32,532,177,179.02/260,687.51
  6. Step 6: Final answer
    x = 124,793.77

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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.