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Finding the Fourth Proportional to 264,931.24, 365,597.94 and 150,230.92

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Solution

The fourth proportional to 264,931.24, 365,597.94 and 150,230.92 is: 207,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,931.24 : 365,597.94 = 150,230.92 : x
  2. Step 2: Convert to fraction form
    264,931.24/365,597.94 = 150,230.92/x
  3. Step 3: Cross multiply
    264,931.24x = 365,597.94 × 150,230.92
  4. Step 4: Simplify right side
    264,931.24x = 54,924,114,876.30
  5. Step 5: Solve for x
    x = 54,924,114,876.30/264,931.24
  6. Step 6: Final answer
    x = 207,314.60

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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.