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Finding the Fourth Proportional to 264,817.72, 365,566.26 and 157,422.52

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Solution

The fourth proportional to 264,817.72, 365,566.26 and 157,422.52 is: 217,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,817.72 : 365,566.26 = 157,422.52 : x
  2. Step 2: Convert to fraction form
    264,817.72/365,566.26 = 157,422.52/x
  3. Step 3: Cross multiply
    264,817.72x = 365,566.26 × 157,422.52
  4. Step 4: Simplify right side
    264,817.72x = 57,548,361,876.18
  5. Step 5: Solve for x
    x = 57,548,361,876.18/264,817.72
  6. Step 6: Final answer
    x = 217,313.11

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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.