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Finding the Fourth Proportional to 241,150.62, 361,801.22 and 145,193.02

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Solution

The fourth proportional to 241,150.62, 361,801.22 and 145,193.02 is: 217,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,150.62 : 361,801.22 = 145,193.02 : x
  2. Step 2: Convert to fraction form
    241,150.62/361,801.22 = 145,193.02/x
  3. Step 3: Cross multiply
    241,150.62x = 361,801.22 × 145,193.02
  4. Step 4: Simplify right side
    241,150.62x = 52,531,011,045.52
  5. Step 5: Solve for x
    x = 52,531,011,045.52/241,150.62
  6. Step 6: Final answer
    x = 217,834.86

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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.