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Finding the Fourth Proportional to 186,952.64, 280,465.92 and 68,625

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Solution

The fourth proportional to 186,952.64, 280,465.92 and 68,625 is: 102,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,952.64 : 280,465.92 = 68,625 : x
  2. Step 2: Convert to fraction form
    186,952.64/280,465.92 = 68,625/x
  3. Step 3: Cross multiply
    186,952.64x = 280,465.92 × 68,625
  4. Step 4: Simplify right side
    186,952.64x = 19,246,973,760
  5. Step 5: Solve for x
    x = 19,246,973,760/186,952.64
  6. Step 6: Final answer
    x = 102,951.07

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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.