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Finding the Fourth Proportional to 202,976.30, 304,464.45 and 197,144.30

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Solution

The fourth proportional to 202,976.30, 304,464.45 and 197,144.30 is: 295,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,976.30 : 304,464.45 = 197,144.30 : x
  2. Step 2: Convert to fraction form
    202,976.30/304,464.45 = 197,144.30/x
  3. Step 3: Cross multiply
    202,976.30x = 304,464.45 × 197,144.30
  4. Step 4: Simplify right side
    202,976.30x = 60,023,430,870.14
  5. Step 5: Solve for x
    x = 60,023,430,870.14/202,976.30
  6. Step 6: Final answer
    x = 295,716.45

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1.5x scale

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.