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Finding the Fourth Proportional to 264,584.70, 365,116.41 and 157,151.88

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Solution

The fourth proportional to 264,584.70, 365,116.41 and 157,151.88 is: 216,863.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,584.70 : 365,116.41 = 157,151.88 : x
  2. Step 2: Convert to fraction form
    264,584.70/365,116.41 = 157,151.88/x
  3. Step 3: Cross multiply
    264,584.70x = 365,116.41 × 157,151.88
  4. Step 4: Simplify right side
    264,584.70x = 57,378,730,250.35
  5. Step 5: Solve for x
    x = 57,378,730,250.35/264,584.70
  6. Step 6: Final answer
    x = 216,863.37

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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.