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Finding the Fourth Proportional to 208,593.56, 311,136.73 and 189,437.16

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Solution

The fourth proportional to 208,593.56, 311,136.73 and 189,437.16 is: 282,563.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,593.56 : 311,136.73 = 189,437.16 : x
  2. Step 2: Convert to fraction form
    208,593.56/311,136.73 = 189,437.16/x
  3. Step 3: Cross multiply
    208,593.56x = 311,136.73 × 189,437.16
  4. Step 4: Simplify right side
    208,593.56x = 58,940,858,502.89
  5. Step 5: Solve for x
    x = 58,940,858,502.89/208,593.56
  6. Step 6: Final answer
    x = 282,563.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.