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Finding the Fourth Proportional to 131,286.52, 180,794.14 and 114,051

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Solution

The fourth proportional to 131,286.52, 180,794.14 and 114,051 is: 157,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,286.52 : 180,794.14 = 114,051 : x
  2. Step 2: Convert to fraction form
    131,286.52/180,794.14 = 114,051/x
  3. Step 3: Cross multiply
    131,286.52x = 180,794.14 × 114,051
  4. Step 4: Simplify right side
    131,286.52x = 20,619,752,461.14
  5. Step 5: Solve for x
    x = 20,619,752,461.14/131,286.52
  6. Step 6: Final answer
    x = 157,059.17

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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.