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Finding the Fourth Proportional to 149,154.60, 205,833.33 and 82,086.60

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Solution

The fourth proportional to 149,154.60, 205,833.33 and 82,086.60 is: 113,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,154.60 : 205,833.33 = 82,086.60 : x
  2. Step 2: Convert to fraction form
    149,154.60/205,833.33 = 82,086.60/x
  3. Step 3: Cross multiply
    149,154.60x = 205,833.33 × 82,086.60
  4. Step 4: Simplify right side
    149,154.60x = 16,896,158,226.38
  5. Step 5: Solve for x
    x = 16,896,158,226.38/149,154.60
  6. Step 6: Final answer
    x = 113,279.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.