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Finding the Fourth Proportional to 137,253.92, 205,914.18 and 43,759.58

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Solution

The fourth proportional to 137,253.92, 205,914.18 and 43,759.58 is: 65,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,253.92 : 205,914.18 = 43,759.58 : x
  2. Step 2: Convert to fraction form
    137,253.92/205,914.18 = 43,759.58/x
  3. Step 3: Cross multiply
    137,253.92x = 205,914.18 × 43,759.58
  4. Step 4: Simplify right side
    137,253.92x = 9,010,718,032.84
  5. Step 5: Solve for x
    x = 9,010,718,032.84/137,253.92
  6. Step 6: Final answer
    x = 65,649.99

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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.