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Finding the Fourth Proportional to 179,217.60, 268,923.60 and 74,047.20

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Solution

The fourth proportional to 179,217.60, 268,923.60 and 74,047.20 is: 111,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,217.60 : 268,923.60 = 74,047.20 : x
  2. Step 2: Convert to fraction form
    179,217.60/268,923.60 = 74,047.20/x
  3. Step 3: Cross multiply
    179,217.60x = 268,923.60 × 74,047.20
  4. Step 4: Simplify right side
    179,217.60x = 19,913,039,593.92
  5. Step 5: Solve for x
    x = 19,913,039,593.92/179,217.60
  6. Step 6: Final answer
    x = 111,110.96

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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.