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Finding the Fourth Proportional to 296,205.78, 408,753.81 and 168,922.34

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Solution

The fourth proportional to 296,205.78, 408,753.81 and 168,922.34 is: 233,107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,205.78 : 408,753.81 = 168,922.34 : x
  2. Step 2: Convert to fraction form
    296,205.78/408,753.81 = 168,922.34/x
  3. Step 3: Cross multiply
    296,205.78x = 408,753.81 × 168,922.34
  4. Step 4: Simplify right side
    296,205.78x = 69,047,650,069.12
  5. Step 5: Solve for x
    x = 69,047,650,069.12/296,205.78
  6. Step 6: Final answer
    x = 233,107.03

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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.