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Finding the Fourth Proportional to 378,081.60, 567,122.40 and 111,818.40

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Solution

The fourth proportional to 378,081.60, 567,122.40 and 111,818.40 is: 167,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,081.60 : 567,122.40 = 111,818.40 : x
  2. Step 2: Convert to fraction form
    378,081.60/567,122.40 = 111,818.40/x
  3. Step 3: Cross multiply
    378,081.60x = 567,122.40 × 111,818.40
  4. Step 4: Simplify right side
    378,081.60x = 63,414,719,372.16
  5. Step 5: Solve for x
    x = 63,414,719,372.16/378,081.60
  6. Step 6: Final answer
    x = 167,727.60

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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.