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Finding the Fourth Proportional to 105,697.56, 158,572.74 and 74,593.56

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Solution

The fourth proportional to 105,697.56, 158,572.74 and 74,593.56 is: 111,908.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,697.56 : 158,572.74 = 74,593.56 : x
  2. Step 2: Convert to fraction form
    105,697.56/158,572.74 = 74,593.56/x
  3. Step 3: Cross multiply
    105,697.56x = 158,572.74 × 74,593.56
  4. Step 4: Simplify right side
    105,697.56x = 11,828,505,195.55
  5. Step 5: Solve for x
    x = 11,828,505,195.55/105,697.56
  6. Step 6: Final answer
    x = 111,908.97

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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.