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Finding the Fourth Proportional to 296,090.26, 408,607.78 and 160,126.85

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Solution

The fourth proportional to 296,090.26, 408,607.78 and 160,126.85 is: 220,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,090.26 : 408,607.78 = 160,126.85 : x
  2. Step 2: Convert to fraction form
    296,090.26/408,607.78 = 160,126.85/x
  3. Step 3: Cross multiply
    296,090.26x = 408,607.78 × 160,126.85
  4. Step 4: Simplify right side
    296,090.26x = 65,429,075,896.26
  5. Step 5: Solve for x
    x = 65,429,075,896.26/296,090.26
  6. Step 6: Final answer
    x = 220,976.79

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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.