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Finding the Fourth Proportional to 144,958.82, 217,259.76 and 69,097.26

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Solution

The fourth proportional to 144,958.82, 217,259.76 and 69,097.26 is: 103,560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,958.82 : 217,259.76 = 69,097.26 : x
  2. Step 2: Convert to fraction form
    144,958.82/217,259.76 = 69,097.26/x
  3. Step 3: Cross multiply
    144,958.82x = 217,259.76 × 69,097.26
  4. Step 4: Simplify right side
    144,958.82x = 15,012,054,124.26
  5. Step 5: Solve for x
    x = 15,012,054,124.26/144,958.82
  6. Step 6: Final answer
    x = 103,560.82

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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.