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Finding the Fourth Proportional to 264,082, 364,433.16 and 144,847.44

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Solution

The fourth proportional to 264,082, 364,433.16 and 144,847.44 is: 199,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,082 : 364,433.16 = 144,847.44 : x
  2. Step 2: Convert to fraction form
    264,082/364,433.16 = 144,847.44/x
  3. Step 3: Cross multiply
    264,082x = 364,433.16 × 144,847.44
  4. Step 4: Simplify right side
    264,082x = 52,787,210,277.11
  5. Step 5: Solve for x
    x = 52,787,210,277.11/264,082
  6. Step 6: Final answer
    x = 199,889.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.