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Finding the Fourth Proportional to 154,199.10, 231,298.65 and 54,471.90

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Solution

The fourth proportional to 154,199.10, 231,298.65 and 54,471.90 is: 81,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,199.10 : 231,298.65 = 54,471.90 : x
  2. Step 2: Convert to fraction form
    154,199.10/231,298.65 = 54,471.90/x
  3. Step 3: Cross multiply
    154,199.10x = 231,298.65 × 54,471.90
  4. Step 4: Simplify right side
    154,199.10x = 12,599,276,932.94
  5. Step 5: Solve for x
    x = 12,599,276,932.94/154,199.10
  6. Step 6: Final answer
    x = 81,707.85

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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.