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Finding the Fourth Proportional to 264,599.20, 365,136.42 and 157,166.38

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Solution

The fourth proportional to 264,599.20, 365,136.42 and 157,166.38 is: 216,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,599.20 : 365,136.42 = 157,166.38 : x
  2. Step 2: Convert to fraction form
    264,599.20/365,136.42 = 157,166.38/x
  3. Step 3: Cross multiply
    264,599.20x = 365,136.42 × 157,166.38
  4. Step 4: Simplify right side
    264,599.20x = 57,387,169,337.56
  5. Step 5: Solve for x
    x = 57,387,169,337.56/264,599.20
  6. Step 6: Final answer
    x = 216,883.38

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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.