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Finding the Fourth Proportional to 230,671.32, 318,309.12 and 150,252.90

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Solution

The fourth proportional to 230,671.32, 318,309.12 and 150,252.90 is: 207,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,671.32 : 318,309.12 = 150,252.90 : x
  2. Step 2: Convert to fraction form
    230,671.32/318,309.12 = 150,252.90/x
  3. Step 3: Cross multiply
    230,671.32x = 318,309.12 × 150,252.90
  4. Step 4: Simplify right side
    230,671.32x = 47,826,868,376.45
  5. Step 5: Solve for x
    x = 47,826,868,376.45/230,671.32
  6. Step 6: Final answer
    x = 207,337.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.