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Finding the Fourth Proportional to 288,102.92, 397,534.48 and 160,778.20

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Solution

The fourth proportional to 288,102.92, 397,534.48 and 160,778.20 is: 221,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,102.92 : 397,534.48 = 160,778.20 : x
  2. Step 2: Convert to fraction form
    288,102.92/397,534.48 = 160,778.20/x
  3. Step 3: Cross multiply
    288,102.92x = 397,534.48 × 160,778.20
  4. Step 4: Simplify right side
    288,102.92x = 63,914,878,132.34
  5. Step 5: Solve for x
    x = 63,914,878,132.34/288,102.92
  6. Step 6: Final answer
    x = 221,847.38

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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.