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Finding the Fourth Proportional to 206,352.77, 309,529.60 and 56,595.20

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Solution

The fourth proportional to 206,352.77, 309,529.60 and 56,595.20 is: 84,892.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,352.77 : 309,529.60 = 56,595.20 : x
  2. Step 2: Convert to fraction form
    206,352.77/309,529.60 = 56,595.20/x
  3. Step 3: Cross multiply
    206,352.77x = 309,529.60 × 56,595.20
  4. Step 4: Simplify right side
    206,352.77x = 17,517,887,928.78
  5. Step 5: Solve for x
    x = 17,517,887,928.78/206,352.77
  6. Step 6: Final answer
    x = 84,892.92

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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.