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Finding the Fourth Proportional to 264,782.85, 365,494.02 and 157,351.59

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Solution

The fourth proportional to 264,782.85, 365,494.02 and 157,351.59 is: 217,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,782.85 : 365,494.02 = 157,351.59 : x
  2. Step 2: Convert to fraction form
    264,782.85/365,494.02 = 157,351.59/x
  3. Step 3: Cross multiply
    264,782.85x = 365,494.02 × 157,351.59
  4. Step 4: Simplify right side
    264,782.85x = 57,511,065,182.49
  5. Step 5: Solve for x
    x = 57,511,065,182.49/264,782.85
  6. Step 6: Final answer
    x = 217,200.87

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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.