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Finding the Fourth Proportional to 241,176.69, 361,509.89 and 81,100.14

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Solution

The fourth proportional to 241,176.69, 361,509.89 and 81,100.14 is: 121,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,176.69 : 361,509.89 = 81,100.14 : x
  2. Step 2: Convert to fraction form
    241,176.69/361,509.89 = 81,100.14/x
  3. Step 3: Cross multiply
    241,176.69x = 361,509.89 × 81,100.14
  4. Step 4: Simplify right side
    241,176.69x = 29,318,500,929.22
  5. Step 5: Solve for x
    x = 29,318,500,929.22/241,176.69
  6. Step 6: Final answer
    x = 121,564.41

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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.