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Finding the Fourth Proportional to 241,089.83, 361,609.36 and 98,950.12

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Solution

The fourth proportional to 241,089.83, 361,609.36 and 98,950.12 is: 148,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,089.83 : 361,609.36 = 98,950.12 : x
  2. Step 2: Convert to fraction form
    241,089.83/361,609.36 = 98,950.12/x
  3. Step 3: Cross multiply
    241,089.83x = 361,609.36 × 98,950.12
  4. Step 4: Simplify right side
    241,089.83x = 35,781,289,478.83
  5. Step 5: Solve for x
    x = 35,781,289,478.83/241,089.83
  6. Step 6: Final answer
    x = 148,414.76

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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.