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Finding the Fourth Proportional to 137,037, 205,581.96 and 48,293.40

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Solution

The fourth proportional to 137,037, 205,581.96 and 48,293.40 is: 72,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,037 : 205,581.96 = 48,293.40 : x
  2. Step 2: Convert to fraction form
    137,037/205,581.96 = 48,293.40/x
  3. Step 3: Cross multiply
    137,037x = 205,581.96 × 48,293.40
  4. Step 4: Simplify right side
    137,037x = 9,928,251,827.06
  5. Step 5: Solve for x
    x = 9,928,251,827.06/137,037
  6. Step 6: Final answer
    x = 72,449.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.