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Finding the Fourth Proportional to 261,919.38, 361,451.25 and 148,742.94

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Solution

The fourth proportional to 261,919.38, 361,451.25 and 148,742.94 is: 205,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,919.38 : 361,451.25 = 148,742.94 : x
  2. Step 2: Convert to fraction form
    261,919.38/361,451.25 = 148,742.94/x
  3. Step 3: Cross multiply
    261,919.38x = 361,451.25 × 148,742.94
  4. Step 4: Simplify right side
    261,919.38x = 53,763,321,591.68
  5. Step 5: Solve for x
    x = 53,763,321,591.68/261,919.38
  6. Step 6: Final answer
    x = 205,266.68

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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.