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Finding the Fourth Proportional to 179,441.60, 269,065.20 and 74,141.60

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Solution

The fourth proportional to 179,441.60, 269,065.20 and 74,141.60 is: 111,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,441.60 : 269,065.20 = 74,141.60 : x
  2. Step 2: Convert to fraction form
    179,441.60/269,065.20 = 74,141.60/x
  3. Step 3: Cross multiply
    179,441.60x = 269,065.20 × 74,141.60
  4. Step 4: Simplify right side
    179,441.60x = 19,948,924,432.32
  5. Step 5: Solve for x
    x = 19,948,924,432.32/179,441.60
  6. Step 6: Final answer
    x = 111,172.24

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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.