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Finding the Fourth Proportional to 117,722.97, 176,695.43 and 42,915.42

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Solution

The fourth proportional to 117,722.97, 176,695.43 and 42,915.42 is: 64,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,722.97 : 176,695.43 = 42,915.42 : x
  2. Step 2: Convert to fraction form
    117,722.97/176,695.43 = 42,915.42/x
  3. Step 3: Cross multiply
    117,722.97x = 176,695.43 × 42,915.42
  4. Step 4: Simplify right side
    117,722.97x = 7,582,958,375.95
  5. Step 5: Solve for x
    x = 7,582,958,375.95/117,722.97
  6. Step 6: Final answer
    x = 64,413.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.