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Finding the Fourth Proportional to 154,647.90, 231,902.13 and 54,785.38

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Solution

The fourth proportional to 154,647.90, 231,902.13 and 54,785.38 is: 82,153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,647.90 : 231,902.13 = 54,785.38 : x
  2. Step 2: Convert to fraction form
    154,647.90/231,902.13 = 54,785.38/x
  3. Step 3: Cross multiply
    154,647.90x = 231,902.13 × 54,785.38
  4. Step 4: Simplify right side
    154,647.90x = 12,704,845,358.51
  5. Step 5: Solve for x
    x = 12,704,845,358.51/154,647.90
  6. Step 6: Final answer
    x = 82,153.37

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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.