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Finding the Fourth Proportional to 512,088.20, 768,189.90 and 157,099.40

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Solution

The fourth proportional to 512,088.20, 768,189.90 and 157,099.40 is: 235,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,088.20 : 768,189.90 = 157,099.40 : x
  2. Step 2: Convert to fraction form
    512,088.20/768,189.90 = 157,099.40/x
  3. Step 3: Cross multiply
    512,088.20x = 768,189.90 × 157,099.40
  4. Step 4: Simplify right side
    512,088.20x = 120,682,172,376.06
  5. Step 5: Solve for x
    x = 120,682,172,376.06/512,088.20
  6. Step 6: Final answer
    x = 235,666.77

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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.