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Finding the Fourth Proportional to 160,947.44, 222,006.42 and 103,661

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Solution

The fourth proportional to 160,947.44, 222,006.42 and 103,661 is: 142,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,947.44 : 222,006.42 = 103,661 : x
  2. Step 2: Convert to fraction form
    160,947.44/222,006.42 = 103,661/x
  3. Step 3: Cross multiply
    160,947.44x = 222,006.42 × 103,661
  4. Step 4: Simplify right side
    160,947.44x = 23,013,407,503.62
  5. Step 5: Solve for x
    x = 23,013,407,503.62/160,947.44
  6. Step 6: Final answer
    x = 142,987.10

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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.