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Finding the Fourth Proportional to 241,121.76, 361,690.84 and 97,025.78

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Solution

The fourth proportional to 241,121.76, 361,690.84 and 97,025.78 is: 145,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,121.76 : 361,690.84 = 97,025.78 : x
  2. Step 2: Convert to fraction form
    241,121.76/361,690.84 = 97,025.78/x
  3. Step 3: Cross multiply
    241,121.76x = 361,690.84 × 97,025.78
  4. Step 4: Simplify right side
    241,121.76x = 35,093,335,869.86
  5. Step 5: Solve for x
    x = 35,093,335,869.86/241,121.76
  6. Step 6: Final answer
    x = 145,541.97

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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.