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Finding the Fourth Proportional to 131,697.49, 181,742.54 and 71,268.14

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Solution

The fourth proportional to 131,697.49, 181,742.54 and 71,268.14 is: 98,350.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,697.49 : 181,742.54 = 71,268.14 : x
  2. Step 2: Convert to fraction form
    131,697.49/181,742.54 = 71,268.14/x
  3. Step 3: Cross multiply
    131,697.49x = 181,742.54 × 71,268.14
  4. Step 4: Simplify right side
    131,697.49x = 12,952,451,586.44
  5. Step 5: Solve for x
    x = 12,952,451,586.44/131,697.49
  6. Step 6: Final answer
    x = 98,350.02

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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.