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Finding the Fourth Proportional to 154,167.12, 231,260.76 and 47,538

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Solution

The fourth proportional to 154,167.12, 231,260.76 and 47,538 is: 71,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,167.12 : 231,260.76 = 47,538 : x
  2. Step 2: Convert to fraction form
    154,167.12/231,260.76 = 47,538/x
  3. Step 3: Cross multiply
    154,167.12x = 231,260.76 × 47,538
  4. Step 4: Simplify right side
    154,167.12x = 10,993,674,008.88
  5. Step 5: Solve for x
    x = 10,993,674,008.88/154,167.12
  6. Step 6: Final answer
    x = 71,310.11

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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.