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Finding the Fourth Proportional to 137,120.88, 205,668.36 and 43,610.16

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Solution

The fourth proportional to 137,120.88, 205,668.36 and 43,610.16 is: 65,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,120.88 : 205,668.36 = 43,610.16 : x
  2. Step 2: Convert to fraction form
    137,120.88/205,668.36 = 43,610.16/x
  3. Step 3: Cross multiply
    137,120.88x = 205,668.36 × 43,610.16
  4. Step 4: Simplify right side
    137,120.88x = 8,969,230,086.54
  5. Step 5: Solve for x
    x = 8,969,230,086.54/137,120.88
  6. Step 6: Final answer
    x = 65,411.12

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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.