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Finding the Fourth Proportional to 294,057.44, 441,091.20 and 83,700.80

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Solution

The fourth proportional to 294,057.44, 441,091.20 and 83,700.80 is: 125,552.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,057.44 : 441,091.20 = 83,700.80 : x
  2. Step 2: Convert to fraction form
    294,057.44/441,091.20 = 83,700.80/x
  3. Step 3: Cross multiply
    294,057.44x = 441,091.20 × 83,700.80
  4. Step 4: Simplify right side
    294,057.44x = 36,919,686,312.96
  5. Step 5: Solve for x
    x = 36,919,686,312.96/294,057.44
  6. Step 6: Final answer
    x = 125,552.63

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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.