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Finding the Fourth Proportional to 136,642.20, 205,400.70 and 97,470.60

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Solution

The fourth proportional to 136,642.20, 205,400.70 and 97,470.60 is: 146,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,642.20 : 205,400.70 = 97,470.60 : x
  2. Step 2: Convert to fraction form
    136,642.20/205,400.70 = 97,470.60/x
  3. Step 3: Cross multiply
    136,642.20x = 205,400.70 × 97,470.60
  4. Step 4: Simplify right side
    136,642.20x = 20,020,529,469.42
  5. Step 5: Solve for x
    x = 20,020,529,469.42/136,642.20
  6. Step 6: Final answer
    x = 146,517.91

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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.