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Finding the Fourth Proportional to 147,638, 203,751.39 and 83,996.30

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Solution

The fourth proportional to 147,638, 203,751.39 and 83,996.30 is: 115,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,638 : 203,751.39 = 83,996.30 : x
  2. Step 2: Convert to fraction form
    147,638/203,751.39 = 83,996.30/x
  3. Step 3: Cross multiply
    147,638x = 203,751.39 × 83,996.30
  4. Step 4: Simplify right side
    147,638x = 17,114,362,879.86
  5. Step 5: Solve for x
    x = 17,114,362,879.86/147,638
  6. Step 6: Final answer
    x = 115,921.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.