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Finding the Fourth Proportional to 91,935.60, 137,903.40 and 82,021.20

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Solution

The fourth proportional to 91,935.60, 137,903.40 and 82,021.20 is: 123,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,935.60 : 137,903.40 = 82,021.20 : x
  2. Step 2: Convert to fraction form
    91,935.60/137,903.40 = 82,021.20/x
  3. Step 3: Cross multiply
    91,935.60x = 137,903.40 × 82,021.20
  4. Step 4: Simplify right side
    91,935.60x = 11,311,002,352.08
  5. Step 5: Solve for x
    x = 11,311,002,352.08/91,935.60
  6. Step 6: Final answer
    x = 123,031.80

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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.