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Finding the Fourth Proportional to 138,972.50, 208,456.54 and 44,201.32

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Solution

The fourth proportional to 138,972.50, 208,456.54 and 44,201.32 is: 66,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,972.50 : 208,456.54 = 44,201.32 : x
  2. Step 2: Convert to fraction form
    138,972.50/208,456.54 = 44,201.32/x
  3. Step 3: Cross multiply
    138,972.50x = 208,456.54 × 44,201.32
  4. Step 4: Simplify right side
    138,972.50x = 9,214,054,230.63
  5. Step 5: Solve for x
    x = 9,214,054,230.63/138,972.50
  6. Step 6: Final answer
    x = 66,301.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.