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Finding the Fourth Proportional to 241,321.45, 361,921.45 and 99,206.36

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Solution

The fourth proportional to 241,321.45, 361,921.45 and 99,206.36 is: 148,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,321.45 : 361,921.45 = 99,206.36 : x
  2. Step 2: Convert to fraction form
    241,321.45/361,921.45 = 99,206.36/x
  3. Step 3: Cross multiply
    241,321.45x = 361,921.45 × 99,206.36
  4. Step 4: Simplify right side
    241,321.45x = 35,904,909,660.42
  5. Step 5: Solve for x
    x = 35,904,909,660.42/241,321.45
  6. Step 6: Final answer
    x = 148,784.58

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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.