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Finding the Fourth Proportional to 105,432.98, 157,974.50 and 74,202.62

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Solution

The fourth proportional to 105,432.98, 157,974.50 and 74,202.62 is: 111,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,432.98 : 157,974.50 = 74,202.62 : x
  2. Step 2: Convert to fraction form
    105,432.98/157,974.50 = 74,202.62/x
  3. Step 3: Cross multiply
    105,432.98x = 157,974.50 × 74,202.62
  4. Step 4: Simplify right side
    105,432.98x = 11,722,121,188.82
  5. Step 5: Solve for x
    x = 11,722,121,188.82/105,432.98
  6. Step 6: Final answer
    x = 111,180.79

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