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Finding the Fourth Proportional to 137,046.72, 205,567.92 and 73,896.24

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Solution

The fourth proportional to 137,046.72, 205,567.92 and 73,896.24 is: 110,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,046.72 : 205,567.92 = 73,896.24 : x
  2. Step 2: Convert to fraction form
    137,046.72/205,567.92 = 73,896.24/x
  3. Step 3: Cross multiply
    137,046.72x = 205,567.92 × 73,896.24
  4. Step 4: Simplify right side
    137,046.72x = 15,190,696,352.62
  5. Step 5: Solve for x
    x = 15,190,696,352.62/137,046.72
  6. Step 6: Final answer
    x = 110,843.20

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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.