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Finding the Fourth Proportional to 269,006.76, 371,194.92 and 161,595.90

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Solution

The fourth proportional to 269,006.76, 371,194.92 and 161,595.90 is: 222,981.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,006.76 : 371,194.92 = 161,595.90 : x
  2. Step 2: Convert to fraction form
    269,006.76/371,194.92 = 161,595.90/x
  3. Step 3: Cross multiply
    269,006.76x = 371,194.92 × 161,595.90
  4. Step 4: Simplify right side
    269,006.76x = 59,983,577,172.83
  5. Step 5: Solve for x
    x = 59,983,577,172.83/269,006.76
  6. Step 6: Final answer
    x = 222,981.67

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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.