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Finding the Fourth Proportional to 137,218.20, 205,842.42 and 43,702.44

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Solution

The fourth proportional to 137,218.20, 205,842.42 and 43,702.44 is: 65,558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,218.20 : 205,842.42 = 43,702.44 : x
  2. Step 2: Convert to fraction form
    137,218.20/205,842.42 = 43,702.44/x
  3. Step 3: Cross multiply
    137,218.20x = 205,842.42 × 43,702.44
  4. Step 4: Simplify right side
    137,218.20x = 8,995,816,009.50
  5. Step 5: Solve for x
    x = 8,995,816,009.50/137,218.20
  6. Step 6: Final answer
    x = 65,558.48

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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.