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Finding the Fourth Proportional to 294,057.54, 441,089.01 and 83,695.41

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Solution

The fourth proportional to 294,057.54, 441,089.01 and 83,695.41 is: 125,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,057.54 : 441,089.01 = 83,695.41 : x
  2. Step 2: Convert to fraction form
    294,057.54/441,089.01 = 83,695.41/x
  3. Step 3: Cross multiply
    294,057.54x = 441,089.01 × 83,695.41
  4. Step 4: Simplify right side
    294,057.54x = 36,917,125,538.44
  5. Step 5: Solve for x
    x = 36,917,125,538.44/294,057.54
  6. Step 6: Final answer
    x = 125,543.88

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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.