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Finding the Fourth Proportional to 160,409.52, 221,362.32 and 88,787.97

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Solution

The fourth proportional to 160,409.52, 221,362.32 and 88,787.97 is: 122,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,409.52 : 221,362.32 = 88,787.97 : x
  2. Step 2: Convert to fraction form
    160,409.52/221,362.32 = 88,787.97/x
  3. Step 3: Cross multiply
    160,409.52x = 221,362.32 × 88,787.97
  4. Step 4: Simplify right side
    160,409.52x = 19,654,311,027.29
  5. Step 5: Solve for x
    x = 19,654,311,027.29/160,409.52
  6. Step 6: Final answer
    x = 122,525.84

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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.