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Finding the Fourth Proportional to 262,045.58, 361,624.12 and 148,874.54

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Solution

The fourth proportional to 262,045.58, 361,624.12 and 148,874.54 is: 205,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,045.58 : 361,624.12 = 148,874.54 : x
  2. Step 2: Convert to fraction form
    262,045.58/361,624.12 = 148,874.54/x
  3. Step 3: Cross multiply
    262,045.58x = 361,624.12 × 148,874.54
  4. Step 4: Simplify right side
    262,045.58x = 53,836,624,517.90
  5. Step 5: Solve for x
    x = 53,836,624,517.90/262,045.58
  6. Step 6: Final answer
    x = 205,447.56

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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.