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Finding the Fourth Proportional to 182,082, 273,063.84 and 69,756.24

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Solution

The fourth proportional to 182,082, 273,063.84 and 69,756.24 is: 104,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,082 : 273,063.84 = 69,756.24 : x
  2. Step 2: Convert to fraction form
    182,082/273,063.84 = 69,756.24/x
  3. Step 3: Cross multiply
    182,082x = 273,063.84 × 69,756.24
  4. Step 4: Simplify right side
    182,082x = 19,047,906,758.36
  5. Step 5: Solve for x
    x = 19,047,906,758.36/182,082
  6. Step 6: Final answer
    x = 104,611.70

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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.