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Finding the Fourth Proportional to 206,383.16, 309,575.16 and 56,625.52

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Solution

The fourth proportional to 206,383.16, 309,575.16 and 56,625.52 is: 84,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,383.16 : 309,575.16 = 56,625.52 : x
  2. Step 2: Convert to fraction form
    206,383.16/309,575.16 = 56,625.52/x
  3. Step 3: Cross multiply
    206,383.16x = 309,575.16 × 56,625.52
  4. Step 4: Simplify right side
    206,383.16x = 17,529,854,414.08
  5. Step 5: Solve for x
    x = 17,529,854,414.08/206,383.16
  6. Step 6: Final answer
    x = 84,938.40

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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.