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Finding the Fourth Proportional to 144,643.34, 217,105.14 and 69,816.08

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Solution

The fourth proportional to 144,643.34, 217,105.14 and 69,816.08 is: 104,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,643.34 : 217,105.14 = 69,816.08 : x
  2. Step 2: Convert to fraction form
    144,643.34/217,105.14 = 69,816.08/x
  3. Step 3: Cross multiply
    144,643.34x = 217,105.14 × 69,816.08
  4. Step 4: Simplify right side
    144,643.34x = 15,157,429,822.65
  5. Step 5: Solve for x
    x = 15,157,429,822.65/144,643.34
  6. Step 6: Final answer
    x = 104,791.76

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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.