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Finding the Fourth Proportional to 137,019.96, 205,550.52 and 48,257.88

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Solution

The fourth proportional to 137,019.96, 205,550.52 and 48,257.88 is: 72,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,019.96 : 205,550.52 = 48,257.88 : x
  2. Step 2: Convert to fraction form
    137,019.96/205,550.52 = 48,257.88/x
  3. Step 3: Cross multiply
    137,019.96x = 205,550.52 × 48,257.88
  4. Step 4: Simplify right side
    137,019.96x = 9,919,432,328.10
  5. Step 5: Solve for x
    x = 9,919,432,328.10/137,019.96
  6. Step 6: Final answer
    x = 72,394.07

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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.