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Finding the Fourth Proportional to 138,846.60, 208,221.30 and 72,264.60

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Solution

The fourth proportional to 138,846.60, 208,221.30 and 72,264.60 is: 108,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,846.60 : 208,221.30 = 72,264.60 : x
  2. Step 2: Convert to fraction form
    138,846.60/208,221.30 = 72,264.60/x
  3. Step 3: Cross multiply
    138,846.60x = 208,221.30 × 72,264.60
  4. Step 4: Simplify right side
    138,846.60x = 15,047,028,955.98
  5. Step 5: Solve for x
    x = 15,047,028,955.98/138,846.60
  6. Step 6: Final answer
    x = 108,371.61

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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.