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Finding the Fourth Proportional to 144,858.87, 217,304.10 and 69,964.65

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Solution

The fourth proportional to 144,858.87, 217,304.10 and 69,964.65 is: 104,954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,858.87 : 217,304.10 = 69,964.65 : x
  2. Step 2: Convert to fraction form
    144,858.87/217,304.10 = 69,964.65/x
  3. Step 3: Cross multiply
    144,858.87x = 217,304.10 × 69,964.65
  4. Step 4: Simplify right side
    144,858.87x = 15,203,605,300.07
  5. Step 5: Solve for x
    x = 15,203,605,300.07/144,858.87
  6. Step 6: Final answer
    x = 104,954.60

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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.