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Finding the Fourth Proportional to 296,102.48, 408,620.22 and 160,136.55

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Solution

The fourth proportional to 296,102.48, 408,620.22 and 160,136.55 is: 220,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,102.48 : 408,620.22 = 160,136.55 : x
  2. Step 2: Convert to fraction form
    296,102.48/408,620.22 = 160,136.55/x
  3. Step 3: Cross multiply
    296,102.48x = 408,620.22 × 160,136.55
  4. Step 4: Simplify right side
    296,102.48x = 65,435,032,291.04
  5. Step 5: Solve for x
    x = 65,435,032,291.04/296,102.48
  6. Step 6: Final answer
    x = 220,987.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.