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Finding the Fourth Proportional to 264,583.20, 365,114.34 and 157,150.38

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Solution

The fourth proportional to 264,583.20, 365,114.34 and 157,150.38 is: 216,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,583.20 : 365,114.34 = 157,150.38 : x
  2. Step 2: Convert to fraction form
    264,583.20/365,114.34 = 157,150.38/x
  3. Step 3: Cross multiply
    264,583.20x = 365,114.34 × 157,150.38
  4. Step 4: Simplify right side
    264,583.20x = 57,377,857,274.45
  5. Step 5: Solve for x
    x = 57,377,857,274.45/264,583.20
  6. Step 6: Final answer
    x = 216,861.30

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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.