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Finding the Fourth Proportional to 202,734.15, 304,007.61 and 74,618.25

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Solution

The fourth proportional to 202,734.15, 304,007.61 and 74,618.25 is: 111,892.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,734.15 : 304,007.61 = 74,618.25 : x
  2. Step 2: Convert to fraction form
    202,734.15/304,007.61 = 74,618.25/x
  3. Step 3: Cross multiply
    202,734.15x = 304,007.61 × 74,618.25
  4. Step 4: Simplify right side
    202,734.15x = 22,684,515,768.44
  5. Step 5: Solve for x
    x = 22,684,515,768.44/202,734.15
  6. Step 6: Final answer
    x = 111,892.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.