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Finding the Fourth Proportional to 203,200.40, 304,800.60 and 189,376.40

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Solution

The fourth proportional to 203,200.40, 304,800.60 and 189,376.40 is: 284,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,200.40 : 304,800.60 = 189,376.40 : x
  2. Step 2: Convert to fraction form
    203,200.40/304,800.60 = 189,376.40/x
  3. Step 3: Cross multiply
    203,200.40x = 304,800.60 × 189,376.40
  4. Step 4: Simplify right side
    203,200.40x = 57,722,040,345.84
  5. Step 5: Solve for x
    x = 57,722,040,345.84/203,200.40
  6. Step 6: Final answer
    x = 284,064.60

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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.