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Finding the Fourth Proportional to 160,734.78, 221,813.10 and 89,125.38

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Solution

The fourth proportional to 160,734.78, 221,813.10 and 89,125.38 is: 122,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,734.78 : 221,813.10 = 89,125.38 : x
  2. Step 2: Convert to fraction form
    160,734.78/221,813.10 = 89,125.38/x
  3. Step 3: Cross multiply
    160,734.78x = 221,813.10 × 89,125.38
  4. Step 4: Simplify right side
    160,734.78x = 19,769,176,826.48
  5. Step 5: Solve for x
    x = 19,769,176,826.48/160,734.78
  6. Step 6: Final answer
    x = 122,992.53

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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.