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Finding the Fourth Proportional to 160,641.60, 221,687.28 and 89,022.48

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Solution

The fourth proportional to 160,641.60, 221,687.28 and 89,022.48 is: 122,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,641.60 : 221,687.28 = 89,022.48 : x
  2. Step 2: Convert to fraction form
    160,641.60/221,687.28 = 89,022.48/x
  3. Step 3: Cross multiply
    160,641.60x = 221,687.28 × 89,022.48
  4. Step 4: Simplify right side
    160,641.60x = 19,735,151,450.05
  5. Step 5: Solve for x
    x = 19,735,151,450.05/160,641.60
  6. Step 6: Final answer
    x = 122,852.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.