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Finding the Fourth Proportional to 264,566.82, 365,045.18 and 157,172.96

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Solution

The fourth proportional to 264,566.82, 365,045.18 and 157,172.96 is: 216,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,566.82 : 365,045.18 = 157,172.96 : x
  2. Step 2: Convert to fraction form
    264,566.82/365,045.18 = 157,172.96/x
  3. Step 3: Cross multiply
    264,566.82x = 365,045.18 × 157,172.96
  4. Step 4: Simplify right side
    264,566.82x = 57,375,231,474.33
  5. Step 5: Solve for x
    x = 57,375,231,474.33/264,566.82
  6. Step 6: Final answer
    x = 216,864.80

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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.