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Finding the Fourth Proportional to 144,614.12, 217,061.46 and 69,786.94

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Solution

The fourth proportional to 144,614.12, 217,061.46 and 69,786.94 is: 104,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,614.12 : 217,061.46 = 69,786.94 : x
  2. Step 2: Convert to fraction form
    144,614.12/217,061.46 = 69,786.94/x
  3. Step 3: Cross multiply
    144,614.12x = 217,061.46 × 69,786.94
  4. Step 4: Simplify right side
    144,614.12x = 15,148,055,462.02
  5. Step 5: Solve for x
    x = 15,148,055,462.02/144,614.12
  6. Step 6: Final answer
    x = 104,748.11

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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.