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Finding the Fourth Proportional to 137,015.94, 205,540.38 and 48,251.10

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Solution

The fourth proportional to 137,015.94, 205,540.38 and 48,251.10 is: 72,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,015.94 : 205,540.38 = 48,251.10 : x
  2. Step 2: Convert to fraction form
    137,015.94/205,540.38 = 48,251.10/x
  3. Step 3: Cross multiply
    137,015.94x = 205,540.38 × 48,251.10
  4. Step 4: Simplify right side
    137,015.94x = 9,917,549,429.42
  5. Step 5: Solve for x
    x = 9,917,549,429.42/137,015.94
  6. Step 6: Final answer
    x = 72,382.45

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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.