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Finding the Fourth Proportional to 264,130.56, 396,217.92 and 123,814.08

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Solution

The fourth proportional to 264,130.56, 396,217.92 and 123,814.08 is: 185,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,130.56 : 396,217.92 = 123,814.08 : x
  2. Step 2: Convert to fraction form
    264,130.56/396,217.92 = 123,814.08/x
  3. Step 3: Cross multiply
    264,130.56x = 396,217.92 × 123,814.08
  4. Step 4: Simplify right side
    264,130.56x = 49,057,357,244.31
  5. Step 5: Solve for x
    x = 49,057,357,244.31/264,130.56
  6. Step 6: Final answer
    x = 185,731.47

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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.