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Finding the Fourth Proportional to 160,456.43, 221,295.35 and 103,105.09

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Solution

The fourth proportional to 160,456.43, 221,295.35 and 103,105.09 is: 142,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,456.43 : 221,295.35 = 103,105.09 : x
  2. Step 2: Convert to fraction form
    160,456.43/221,295.35 = 103,105.09/x
  3. Step 3: Cross multiply
    160,456.43x = 221,295.35 × 103,105.09
  4. Step 4: Simplify right side
    160,456.43x = 22,816,677,346.51
  5. Step 5: Solve for x
    x = 22,816,677,346.51/160,456.43
  6. Step 6: Final answer
    x = 142,198.58

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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.