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Finding the Fourth Proportional to 154,643.10, 231,964.65 and 123,539.10

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Solution

The fourth proportional to 154,643.10, 231,964.65 and 123,539.10 is: 185,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,643.10 : 231,964.65 = 123,539.10 : x
  2. Step 2: Convert to fraction form
    154,643.10/231,964.65 = 123,539.10/x
  3. Step 3: Cross multiply
    154,643.10x = 231,964.65 × 123,539.10
  4. Step 4: Simplify right side
    154,643.10x = 28,656,704,092.82
  5. Step 5: Solve for x
    x = 28,656,704,092.82/154,643.10
  6. Step 6: Final answer
    x = 185,308.65

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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.