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Finding the Fourth Proportional to 218,948.80, 327,904.80 and 148,446.40

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Solution

The fourth proportional to 218,948.80, 327,904.80 and 148,446.40 is: 222,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,948.80 : 327,904.80 = 148,446.40 : x
  2. Step 2: Convert to fraction form
    218,948.80/327,904.80 = 148,446.40/x
  3. Step 3: Cross multiply
    218,948.80x = 327,904.80 × 148,446.40
  4. Step 4: Simplify right side
    218,948.80x = 48,676,287,102.72
  5. Step 5: Solve for x
    x = 48,676,287,102.72/218,948.80
  6. Step 6: Final answer
    x = 222,318.13

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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.