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Finding the Fourth Proportional to 105,947.46, 146,209.32 and 58,202.82

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Solution

The fourth proportional to 105,947.46, 146,209.32 and 58,202.82 is: 80,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,947.46 : 146,209.32 = 58,202.82 : x
  2. Step 2: Convert to fraction form
    105,947.46/146,209.32 = 58,202.82/x
  3. Step 3: Cross multiply
    105,947.46x = 146,209.32 × 58,202.82
  4. Step 4: Simplify right side
    105,947.46x = 8,509,794,734.28
  5. Step 5: Solve for x
    x = 8,509,794,734.28/105,947.46
  6. Step 6: Final answer
    x = 80,320.89

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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.