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Finding the Fourth Proportional to 145,170.44, 200,335.22 and 81,508.24

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Solution

The fourth proportional to 145,170.44, 200,335.22 and 81,508.24 is: 112,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,170.44 : 200,335.22 = 81,508.24 : x
  2. Step 2: Convert to fraction form
    145,170.44/200,335.22 = 81,508.24/x
  3. Step 3: Cross multiply
    145,170.44x = 200,335.22 × 81,508.24
  4. Step 4: Simplify right side
    145,170.44x = 16,328,971,192.21
  5. Step 5: Solve for x
    x = 16,328,971,192.21/145,170.44
  6. Step 6: Final answer
    x = 112,481.38

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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.