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Finding the Fourth Proportional to 131,053.68, 180,670.86 and 110,829.24

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Solution

The fourth proportional to 131,053.68, 180,670.86 and 110,829.24 is: 152,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,053.68 : 180,670.86 = 110,829.24 : x
  2. Step 2: Convert to fraction form
    131,053.68/180,670.86 = 110,829.24/x
  3. Step 3: Cross multiply
    131,053.68x = 180,670.86 × 110,829.24
  4. Step 4: Simplify right side
    131,053.68x = 20,023,614,103.95
  5. Step 5: Solve for x
    x = 20,023,614,103.95/131,053.68
  6. Step 6: Final answer
    x = 152,789.41

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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.