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Finding the Fourth Proportional to 218,617.20, 328,071.60 and 100,227.60

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Solution

The fourth proportional to 218,617.20, 328,071.60 and 100,227.60 is: 150,408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,617.20 : 328,071.60 = 100,227.60 : x
  2. Step 2: Convert to fraction form
    218,617.20/328,071.60 = 100,227.60/x
  3. Step 3: Cross multiply
    218,617.20x = 328,071.60 × 100,227.60
  4. Step 4: Simplify right side
    218,617.20x = 32,881,829,096.16
  5. Step 5: Solve for x
    x = 32,881,829,096.16/218,617.20
  6. Step 6: Final answer
    x = 150,408.24

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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.