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Finding the Fourth Proportional to 207,189.97, 285,947.45 and 116,549.75

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Solution

The fourth proportional to 207,189.97, 285,947.45 and 116,549.75 is: 160,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,189.97 : 285,947.45 = 116,549.75 : x
  2. Step 2: Convert to fraction form
    207,189.97/285,947.45 = 116,549.75/x
  3. Step 3: Cross multiply
    207,189.97x = 285,947.45 × 116,549.75
  4. Step 4: Simplify right side
    207,189.97x = 33,327,104,379.82
  5. Step 5: Solve for x
    x = 33,327,104,379.82/207,189.97
  6. Step 6: Final answer
    x = 160,852.89

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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.