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Finding the Fourth Proportional to 144,805.98, 217,209.10 and 82,345.26

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Solution

The fourth proportional to 144,805.98, 217,209.10 and 82,345.26 is: 123,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,805.98 : 217,209.10 = 82,345.26 : x
  2. Step 2: Convert to fraction form
    144,805.98/217,209.10 = 82,345.26/x
  3. Step 3: Cross multiply
    144,805.98x = 217,209.10 × 82,345.26
  4. Step 4: Simplify right side
    144,805.98x = 17,886,139,813.87
  5. Step 5: Solve for x
    x = 17,886,139,813.87/144,805.98
  6. Step 6: Final answer
    x = 123,517.96

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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.