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Finding the Fourth Proportional to 105,122.55, 145,115.78 and 71,180.31

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Solution

The fourth proportional to 105,122.55, 145,115.78 and 71,180.31 is: 98,260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,122.55 : 145,115.78 = 71,180.31 : x
  2. Step 2: Convert to fraction form
    105,122.55/145,115.78 = 71,180.31/x
  3. Step 3: Cross multiply
    105,122.55x = 145,115.78 × 71,180.31
  4. Step 4: Simplify right side
    105,122.55x = 10,329,385,850.39
  5. Step 5: Solve for x
    x = 10,329,385,850.39/105,122.55
  6. Step 6: Final answer
    x = 98,260.42

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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.