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Finding the Fourth Proportional to 206,356.77, 309,535.60 and 56,599.20

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Solution

The fourth proportional to 206,356.77, 309,535.60 and 56,599.20 is: 84,898.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,356.77 : 309,535.60 = 56,599.20 : x
  2. Step 2: Convert to fraction form
    206,356.77/309,535.60 = 56,599.20/x
  3. Step 3: Cross multiply
    206,356.77x = 309,535.60 × 56,599.20
  4. Step 4: Simplify right side
    206,356.77x = 17,519,467,331.52
  5. Step 5: Solve for x
    x = 17,519,467,331.52/206,356.77
  6. Step 6: Final answer
    x = 84,898.92

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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.