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Finding the Fourth Proportional to 138,057.30, 207,195.30 and 53,857.80

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Solution

The fourth proportional to 138,057.30, 207,195.30 and 53,857.80 is: 80,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,057.30 : 207,195.30 = 53,857.80 : x
  2. Step 2: Convert to fraction form
    138,057.30/207,195.30 = 53,857.80/x
  3. Step 3: Cross multiply
    138,057.30x = 207,195.30 × 53,857.80
  4. Step 4: Simplify right side
    138,057.30x = 11,159,083,028.34
  5. Step 5: Solve for x
    x = 11,159,083,028.34/138,057.30
  6. Step 6: Final answer
    x = 80,829.36

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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.