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Finding the Fourth Proportional to 91,805.40, 137,708.10 and 83,640.60

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Solution

The fourth proportional to 91,805.40, 137,708.10 and 83,640.60 is: 125,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,805.40 : 137,708.10 = 83,640.60 : x
  2. Step 2: Convert to fraction form
    91,805.40/137,708.10 = 83,640.60/x
  3. Step 3: Cross multiply
    91,805.40x = 137,708.10 × 83,640.60
  4. Step 4: Simplify right side
    91,805.40x = 11,517,988,108.86
  5. Step 5: Solve for x
    x = 11,517,988,108.86/91,805.40
  6. Step 6: Final answer
    x = 125,460.90

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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.