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Finding the Fourth Proportional to 296,208.24, 408,765.69 and 160,241.79

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Solution

The fourth proportional to 296,208.24, 408,765.69 and 160,241.79 is: 221,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,208.24 : 408,765.69 = 160,241.79 : x
  2. Step 2: Convert to fraction form
    296,208.24/408,765.69 = 160,241.79/x
  3. Step 3: Cross multiply
    296,208.24x = 408,765.69 × 160,241.79
  4. Step 4: Simplify right side
    296,208.24x = 65,501,347,389.06
  5. Step 5: Solve for x
    x = 65,501,347,389.06/296,208.24
  6. Step 6: Final answer
    x = 221,132.76

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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.