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Finding the Fourth Proportional to 229,387.60, 344,081.40 and 135,845.20

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Solution

The fourth proportional to 229,387.60, 344,081.40 and 135,845.20 is: 203,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,387.60 : 344,081.40 = 135,845.20 : x
  2. Step 2: Convert to fraction form
    229,387.60/344,081.40 = 135,845.20/x
  3. Step 3: Cross multiply
    229,387.60x = 344,081.40 × 135,845.20
  4. Step 4: Simplify right side
    229,387.60x = 46,741,806,599.28
  5. Step 5: Solve for x
    x = 46,741,806,599.28/229,387.60
  6. Step 6: Final answer
    x = 203,767.80

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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.