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Finding the Fourth Proportional to 294,169.71, 441,181.67 and 83,809.47

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Solution

The fourth proportional to 294,169.71, 441,181.67 and 83,809.47 is: 125,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,169.71 : 441,181.67 = 83,809.47 : x
  2. Step 2: Convert to fraction form
    294,169.71/441,181.67 = 83,809.47/x
  3. Step 3: Cross multiply
    294,169.71x = 441,181.67 × 83,809.47
  4. Step 4: Simplify right side
    294,169.71x = 36,975,201,517.37
  5. Step 5: Solve for x
    x = 36,975,201,517.37/294,169.71
  6. Step 6: Final answer
    x = 125,693.44

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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.