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Finding the Fourth Proportional to 296,203.38, 408,759.77 and 160,237.29

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Solution

The fourth proportional to 296,203.38, 408,759.77 and 160,237.29 is: 221,126.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,203.38 : 408,759.77 = 160,237.29 : x
  2. Step 2: Convert to fraction form
    296,203.38/408,759.77 = 160,237.29/x
  3. Step 3: Cross multiply
    296,203.38x = 408,759.77 × 160,237.29
  4. Step 4: Simplify right side
    296,203.38x = 65,498,557,983.77
  5. Step 5: Solve for x
    x = 65,498,557,983.77/296,203.38
  6. Step 6: Final answer
    x = 221,126.98

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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.