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Finding the Fourth Proportional to 264,137.96, 396,144.70 and 157,551.72

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Solution

The fourth proportional to 264,137.96, 396,144.70 and 157,551.72 is: 236,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,137.96 : 396,144.70 = 157,551.72 : x
  2. Step 2: Convert to fraction form
    264,137.96/396,144.70 = 157,551.72/x
  3. Step 3: Cross multiply
    264,137.96x = 396,144.70 × 157,551.72
  4. Step 4: Simplify right side
    264,137.96x = 62,413,278,853.88
  5. Step 5: Solve for x
    x = 62,413,278,853.88/264,137.96
  6. Step 6: Final answer
    x = 236,290.46

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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.