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Finding the Fourth Proportional to 96,138.65, 144,082.50 and 69,574.09

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Solution

The fourth proportional to 96,138.65, 144,082.50 and 69,574.09 is: 104,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,138.65 : 144,082.50 = 69,574.09 : x
  2. Step 2: Convert to fraction form
    96,138.65/144,082.50 = 69,574.09/x
  3. Step 3: Cross multiply
    96,138.65x = 144,082.50 × 69,574.09
  4. Step 4: Simplify right side
    96,138.65x = 10,024,408,471.47
  5. Step 5: Solve for x
    x = 10,024,408,471.47/96,138.65
  6. Step 6: Final answer
    x = 104,270.33

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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.