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Finding the Fourth Proportional to 241,286.48, 361,871.40 and 101,150

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Solution

The fourth proportional to 241,286.48, 361,871.40 and 101,150 is: 151,700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,286.48 : 361,871.40 = 101,150 : x
  2. Step 2: Convert to fraction form
    241,286.48/361,871.40 = 101,150/x
  3. Step 3: Cross multiply
    241,286.48x = 361,871.40 × 101,150
  4. Step 4: Simplify right side
    241,286.48x = 36,603,292,110
  5. Step 5: Solve for x
    x = 36,603,292,110/241,286.48
  6. Step 6: Final answer
    x = 151,700.55

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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.