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Finding the Fourth Proportional to 137,189.70, 205,801.02 and 48,425.04

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Solution

The fourth proportional to 137,189.70, 205,801.02 and 48,425.04 is: 72,643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,189.70 : 205,801.02 = 48,425.04 : x
  2. Step 2: Convert to fraction form
    137,189.70/205,801.02 = 48,425.04/x
  3. Step 3: Cross multiply
    137,189.70x = 205,801.02 × 48,425.04
  4. Step 4: Simplify right side
    137,189.70x = 9,965,922,625.54
  5. Step 5: Solve for x
    x = 9,965,922,625.54/137,189.70
  6. Step 6: Final answer
    x = 72,643.37

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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.