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Finding the Fourth Proportional to 206,382.16, 309,573.66 and 56,624.52

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Solution

The fourth proportional to 206,382.16, 309,573.66 and 56,624.52 is: 84,936.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,382.16 : 309,573.66 = 56,624.52 : x
  2. Step 2: Convert to fraction form
    206,382.16/309,573.66 = 56,624.52/x
  3. Step 3: Cross multiply
    206,382.16x = 309,573.66 × 56,624.52
  4. Step 4: Simplify right side
    206,382.16x = 17,529,459,902.14
  5. Step 5: Solve for x
    x = 17,529,459,902.14/206,382.16
  6. Step 6: Final answer
    x = 84,936.90

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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.