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Finding the Fourth Proportional to 241,339.52, 361,991.05 and 99,146.05

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Solution

The fourth proportional to 241,339.52, 361,991.05 and 99,146.05 is: 148,711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,339.52 : 361,991.05 = 99,146.05 : x
  2. Step 2: Convert to fraction form
    241,339.52/361,991.05 = 99,146.05/x
  3. Step 3: Cross multiply
    241,339.52x = 361,991.05 × 99,146.05
  4. Step 4: Simplify right side
    241,339.52x = 35,889,982,742.85
  5. Step 5: Solve for x
    x = 35,889,982,742.85/241,339.52
  6. Step 6: Final answer
    x = 148,711.59

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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.