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Finding the Fourth Proportional to 294,165.46, 441,175.29 and 83,805.22

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Solution

The fourth proportional to 294,165.46, 441,175.29 and 83,805.22 is: 125,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,165.46 : 441,175.29 = 83,805.22 : x
  2. Step 2: Convert to fraction form
    294,165.46/441,175.29 = 83,805.22/x
  3. Step 3: Cross multiply
    294,165.46x = 441,175.29 × 83,805.22
  4. Step 4: Simplify right side
    294,165.46x = 36,972,792,237.01
  5. Step 5: Solve for x
    x = 36,972,792,237.01/294,165.46
  6. Step 6: Final answer
    x = 125,687.06

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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.