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Finding the Fourth Proportional to 147,616.57, 203,690.32 and 83,947.33

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Solution

The fourth proportional to 147,616.57, 203,690.32 and 83,947.33 is: 115,835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,616.57 : 203,690.32 = 83,947.33 : x
  2. Step 2: Convert to fraction form
    147,616.57/203,690.32 = 83,947.33/x
  3. Step 3: Cross multiply
    147,616.57x = 203,690.32 × 83,947.33
  4. Step 4: Simplify right side
    147,616.57x = 17,099,258,510.85
  5. Step 5: Solve for x
    x = 17,099,258,510.85/147,616.57
  6. Step 6: Final answer
    x = 115,835.63

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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.