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Finding the Fourth Proportional to 228,096.86, 342,200.91 and 160,760.12

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Solution

The fourth proportional to 228,096.86, 342,200.91 and 160,760.12 is: 241,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,096.86 : 342,200.91 = 160,760.12 : x
  2. Step 2: Convert to fraction form
    228,096.86/342,200.91 = 160,760.12/x
  3. Step 3: Cross multiply
    228,096.86x = 342,200.91 × 160,760.12
  4. Step 4: Simplify right side
    228,096.86x = 55,012,259,355.71
  5. Step 5: Solve for x
    x = 55,012,259,355.71/228,096.86
  6. Step 6: Final answer
    x = 241,179.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.