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Finding the Fourth Proportional to 294,076.63, 441,079.87 and 80,866.20

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Solution

The fourth proportional to 294,076.63, 441,079.87 and 80,866.20 is: 121,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,076.63 : 441,079.87 = 80,866.20 : x
  2. Step 2: Convert to fraction form
    294,076.63/441,079.87 = 80,866.20/x
  3. Step 3: Cross multiply
    294,076.63x = 441,079.87 × 80,866.20
  4. Step 4: Simplify right side
    294,076.63x = 35,668,452,781.23
  5. Step 5: Solve for x
    x = 35,668,452,781.23/294,076.63
  6. Step 6: Final answer
    x = 121,289.66

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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.