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Finding the Fourth Proportional to 280,632.12, 387,142.38 and 161,331

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Solution

The fourth proportional to 280,632.12, 387,142.38 and 161,331 is: 222,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,632.12 : 387,142.38 = 161,331 : x
  2. Step 2: Convert to fraction form
    280,632.12/387,142.38 = 161,331/x
  3. Step 3: Cross multiply
    280,632.12x = 387,142.38 × 161,331
  4. Step 4: Simplify right side
    280,632.12x = 62,458,067,307.78
  5. Step 5: Solve for x
    x = 62,458,067,307.78/280,632.12
  6. Step 6: Final answer
    x = 222,562.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.