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Finding the Fourth Proportional to 296,233.50, 408,801.75 and 160,267.14

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Solution

The fourth proportional to 296,233.50, 408,801.75 and 160,267.14 is: 221,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,233.50 : 408,801.75 = 160,267.14 : x
  2. Step 2: Convert to fraction form
    296,233.50/408,801.75 = 160,267.14/x
  3. Step 3: Cross multiply
    296,233.50x = 408,801.75 × 160,267.14
  4. Step 4: Simplify right side
    296,233.50x = 65,517,487,299.50
  5. Step 5: Solve for x
    x = 65,517,487,299.50/296,233.50
  6. Step 6: Final answer
    x = 221,168.39

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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.