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Finding the Fourth Proportional to 219,033.97, 327,957.32 and 113,631.50

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Solution

The fourth proportional to 219,033.97, 327,957.32 and 113,631.50 is: 170,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,033.97 : 327,957.32 = 113,631.50 : x
  2. Step 2: Convert to fraction form
    219,033.97/327,957.32 = 113,631.50/x
  3. Step 3: Cross multiply
    219,033.97x = 327,957.32 × 113,631.50
  4. Step 4: Simplify right side
    219,033.97x = 37,266,283,311.55
  5. Step 5: Solve for x
    x = 37,266,283,311.55/219,033.97
  6. Step 6: Final answer
    x = 170,139.29

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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.