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Finding the Fourth Proportional to 138,457.40, 207,675.30 and 54,201.20

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Solution

The fourth proportional to 138,457.40, 207,675.30 and 54,201.20 is: 81,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,457.40 : 207,675.30 = 54,201.20 : x
  2. Step 2: Convert to fraction form
    138,457.40/207,675.30 = 54,201.20/x
  3. Step 3: Cross multiply
    138,457.40x = 207,675.30 × 54,201.20
  4. Step 4: Simplify right side
    138,457.40x = 11,256,250,470.36
  5. Step 5: Solve for x
    x = 11,256,250,470.36/138,457.40
  6. Step 6: Final answer
    x = 81,297.57

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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.