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Finding the Fourth Proportional to 305,891.90, 458,902.65 and 92,642.30

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Solution

The fourth proportional to 305,891.90, 458,902.65 and 92,642.30 is: 138,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,891.90 : 458,902.65 = 92,642.30 : x
  2. Step 2: Convert to fraction form
    305,891.90/458,902.65 = 92,642.30/x
  3. Step 3: Cross multiply
    305,891.90x = 458,902.65 × 92,642.30
  4. Step 4: Simplify right side
    305,891.90x = 42,513,796,972.10
  5. Step 5: Solve for x
    x = 42,513,796,972.10/305,891.90
  6. Step 6: Final answer
    x = 138,983.08

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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.