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Finding the Fourth Proportional to 264,052.10, 364,392.11 and 143,193.38

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Solution

The fourth proportional to 264,052.10, 364,392.11 and 143,193.38 is: 197,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,052.10 : 364,392.11 = 143,193.38 : x
  2. Step 2: Convert to fraction form
    264,052.10/364,392.11 = 143,193.38/x
  3. Step 3: Cross multiply
    264,052.10x = 364,392.11 × 143,193.38
  4. Step 4: Simplify right side
    264,052.10x = 52,178,536,412.25
  5. Step 5: Solve for x
    x = 52,178,536,412.25/264,052.10
  6. Step 6: Final answer
    x = 197,606.97

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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.