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Finding the Fourth Proportional to 242,912.76, 364,412.01 and 82,951.20

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Solution

The fourth proportional to 242,912.76, 364,412.01 and 82,951.20 is: 124,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,912.76 : 364,412.01 = 82,951.20 : x
  2. Step 2: Convert to fraction form
    242,912.76/364,412.01 = 82,951.20/x
  3. Step 3: Cross multiply
    242,912.76x = 364,412.01 × 82,951.20
  4. Step 4: Simplify right side
    242,912.76x = 30,228,413,523.91
  5. Step 5: Solve for x
    x = 30,228,413,523.91/242,912.76
  6. Step 6: Final answer
    x = 124,441.44

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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.