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Finding the Fourth Proportional to 264,338.84, 364,977.07 and 162,500.78

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Solution

The fourth proportional to 264,338.84, 364,977.07 and 162,500.78 is: 224,367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,338.84 : 364,977.07 = 162,500.78 : x
  2. Step 2: Convert to fraction form
    264,338.84/364,977.07 = 162,500.78/x
  3. Step 3: Cross multiply
    264,338.84x = 364,977.07 × 162,500.78
  4. Step 4: Simplify right side
    264,338.84x = 59,309,056,732.23
  5. Step 5: Solve for x
    x = 59,309,056,732.23/264,338.84
  6. Step 6: Final answer
    x = 224,367.55

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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.