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Finding the Fourth Proportional to 296,207.40, 408,765.31 and 160,241.31

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Solution

The fourth proportional to 296,207.40, 408,765.31 and 160,241.31 is: 221,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,207.40 : 408,765.31 = 160,241.31 : x
  2. Step 2: Convert to fraction form
    296,207.40/408,765.31 = 160,241.31/x
  3. Step 3: Cross multiply
    296,207.40x = 408,765.31 × 160,241.31
  4. Step 4: Simplify right side
    296,207.40x = 65,501,088,756.96
  5. Step 5: Solve for x
    x = 65,501,088,756.96/296,207.40
  6. Step 6: Final answer
    x = 221,132.52

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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.