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Finding the Fourth Proportional to 206,533.61, 309,775.81 and 56,789.12

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Solution

The fourth proportional to 206,533.61, 309,775.81 and 56,789.12 is: 85,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,533.61 : 309,775.81 = 56,789.12 : x
  2. Step 2: Convert to fraction form
    206,533.61/309,775.81 = 56,789.12/x
  3. Step 3: Cross multiply
    206,533.61x = 309,775.81 × 56,789.12
  4. Step 4: Simplify right side
    206,533.61x = 17,591,895,647.19
  5. Step 5: Solve for x
    x = 17,591,895,647.19/206,533.61
  6. Step 6: Final answer
    x = 85,176.91

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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.