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Finding the Fourth Proportional to 154,114.56, 231,176.16 and 75,291.84

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Solution

The fourth proportional to 154,114.56, 231,176.16 and 75,291.84 is: 112,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,114.56 : 231,176.16 = 75,291.84 : x
  2. Step 2: Convert to fraction form
    154,114.56/231,176.16 = 75,291.84/x
  3. Step 3: Cross multiply
    154,114.56x = 231,176.16 × 75,291.84
  4. Step 4: Simplify right side
    154,114.56x = 17,405,678,450.53
  5. Step 5: Solve for x
    x = 17,405,678,450.53/154,114.56
  6. Step 6: Final answer
    x = 112,939.87

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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.