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Finding the Fourth Proportional to 115,963.18, 160,051.89 and 68,257.42

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Solution

The fourth proportional to 115,963.18, 160,051.89 and 68,257.42 is: 94,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,963.18 : 160,051.89 = 68,257.42 : x
  2. Step 2: Convert to fraction form
    115,963.18/160,051.89 = 68,257.42/x
  3. Step 3: Cross multiply
    115,963.18x = 160,051.89 × 68,257.42
  4. Step 4: Simplify right side
    115,963.18x = 10,924,729,077.52
  5. Step 5: Solve for x
    x = 10,924,729,077.52/115,963.18
  6. Step 6: Final answer
    x = 94,208.60

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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.