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Finding the Fourth Proportional to 115,274.25, 159,078.47 and 62,282.25

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Solution

The fourth proportional to 115,274.25, 159,078.47 and 62,282.25 is: 85,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,274.25 : 159,078.47 = 62,282.25 : x
  2. Step 2: Convert to fraction form
    115,274.25/159,078.47 = 62,282.25/x
  3. Step 3: Cross multiply
    115,274.25x = 159,078.47 × 62,282.25
  4. Step 4: Simplify right side
    115,274.25x = 9,907,764,726.75
  5. Step 5: Solve for x
    x = 9,907,764,726.75/115,274.25
  6. Step 6: Final answer
    x = 85,949.51

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Why These Related Problems?

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