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Finding the Fourth Proportional to 218,535.40, 327,803.10 and 152,180.20

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Solution

The fourth proportional to 218,535.40, 327,803.10 and 152,180.20 is: 228,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,535.40 : 327,803.10 = 152,180.20 : x
  2. Step 2: Convert to fraction form
    218,535.40/327,803.10 = 152,180.20/x
  3. Step 3: Cross multiply
    218,535.40x = 327,803.10 × 152,180.20
  4. Step 4: Simplify right side
    218,535.40x = 49,885,141,318.62
  5. Step 5: Solve for x
    x = 49,885,141,318.62/218,535.40
  6. Step 6: Final answer
    x = 228,270.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.