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Finding the Fourth Proportional to 152,027.46, 209,796.46 and 84,046.18

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Solution

The fourth proportional to 152,027.46, 209,796.46 and 84,046.18 is: 115,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,027.46 : 209,796.46 = 84,046.18 : x
  2. Step 2: Convert to fraction form
    152,027.46/209,796.46 = 84,046.18/x
  3. Step 3: Cross multiply
    152,027.46x = 209,796.46 × 84,046.18
  4. Step 4: Simplify right side
    152,027.46x = 17,632,591,040.52
  5. Step 5: Solve for x
    x = 17,632,591,040.52/152,027.46
  6. Step 6: Final answer
    x = 115,982.94

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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.