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Finding the Fourth Proportional to 208,591.71, 312,871.84 and 66,431.25

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Solution

The fourth proportional to 208,591.71, 312,871.84 and 66,431.25 is: 99,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,591.71 : 312,871.84 = 66,431.25 : x
  2. Step 2: Convert to fraction form
    208,591.71/312,871.84 = 66,431.25/x
  3. Step 3: Cross multiply
    208,591.71x = 312,871.84 × 66,431.25
  4. Step 4: Simplify right side
    208,591.71x = 20,784,465,524.48
  5. Step 5: Solve for x
    x = 20,784,465,524.48/208,591.71
  6. Step 6: Final answer
    x = 99,641.86

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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.