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Finding the Fourth Proportional to 264,930.95, 365,476.12 and 157,424.85

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Solution

The fourth proportional to 264,930.95, 365,476.12 and 157,424.85 is: 217,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,930.95 : 365,476.12 = 157,424.85 : x
  2. Step 2: Convert to fraction form
    264,930.95/365,476.12 = 157,424.85/x
  3. Step 3: Cross multiply
    264,930.95x = 365,476.12 × 157,424.85
  4. Step 4: Simplify right side
    264,930.95x = 57,535,022,976.02
  5. Step 5: Solve for x
    x = 57,535,022,976.02/264,930.95
  6. Step 6: Final answer
    x = 217,169.88

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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.