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Finding the Fourth Proportional to 91,846.60, 137,769.90 and 82,515.40

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Solution

The fourth proportional to 91,846.60, 137,769.90 and 82,515.40 is: 123,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,846.60 : 137,769.90 = 82,515.40 : x
  2. Step 2: Convert to fraction form
    91,846.60/137,769.90 = 82,515.40/x
  3. Step 3: Cross multiply
    91,846.60x = 137,769.90 × 82,515.40
  4. Step 4: Simplify right side
    91,846.60x = 11,368,138,406.46
  5. Step 5: Solve for x
    x = 11,368,138,406.46/91,846.60
  6. Step 6: Final answer
    x = 123,773.10

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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.