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Finding the Fourth Proportional to 131,102.52, 180,921.44 and 71,486.52

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Solution

The fourth proportional to 131,102.52, 180,921.44 and 71,486.52 is: 98,651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,102.52 : 180,921.44 = 71,486.52 : x
  2. Step 2: Convert to fraction form
    131,102.52/180,921.44 = 71,486.52/x
  3. Step 3: Cross multiply
    131,102.52x = 180,921.44 × 71,486.52
  4. Step 4: Simplify right side
    131,102.52x = 12,933,444,138.99
  5. Step 5: Solve for x
    x = 12,933,444,138.99/131,102.52
  6. Step 6: Final answer
    x = 98,651.38

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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.