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Finding the Fourth Proportional to 512,087.20, 768,188.40 and 157,098.40

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Solution

The fourth proportional to 512,087.20, 768,188.40 and 157,098.40 is: 235,665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,087.20 : 768,188.40 = 157,098.40 : x
  2. Step 2: Convert to fraction form
    512,087.20/768,188.40 = 157,098.40/x
  3. Step 3: Cross multiply
    512,087.20x = 768,188.40 × 157,098.40
  4. Step 4: Simplify right side
    512,087.20x = 120,681,168,538.56
  5. Step 5: Solve for x
    x = 120,681,168,538.56/512,087.20
  6. Step 6: Final answer
    x = 235,665.27

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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.