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Finding the Fourth Proportional to 208,775.38, 288,184.74 and 123,892.44

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Solution

The fourth proportional to 208,775.38, 288,184.74 and 123,892.44 is: 171,015.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,775.38 : 288,184.74 = 123,892.44 : x
  2. Step 2: Convert to fraction form
    208,775.38/288,184.74 = 123,892.44/x
  3. Step 3: Cross multiply
    208,775.38x = 288,184.74 × 123,892.44
  4. Step 4: Simplify right side
    208,775.38x = 35,703,910,609.37
  5. Step 5: Solve for x
    x = 35,703,910,609.37/208,775.38
  6. Step 6: Final answer
    x = 171,015.91

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1.5x scale

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.