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Finding the Fourth Proportional to 264,757.20, 365,307 and 157,362.96

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Solution

The fourth proportional to 264,757.20, 365,307 and 157,362.96 is: 217,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,757.20 : 365,307 = 157,362.96 : x
  2. Step 2: Convert to fraction form
    264,757.20/365,307 = 157,362.96/x
  3. Step 3: Cross multiply
    264,757.20x = 365,307 × 157,362.96
  4. Step 4: Simplify right side
    264,757.20x = 57,485,790,828.72
  5. Step 5: Solve for x
    x = 57,485,790,828.72/264,757.20
  6. Step 6: Final answer
    x = 217,126.45

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1.5x scale

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.