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Finding the Fourth Proportional to 200,869.32, 301,321.49 and 65,892.92

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Solution

The fourth proportional to 200,869.32, 301,321.49 and 65,892.92 is: 98,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,869.32 : 301,321.49 = 65,892.92 : x
  2. Step 2: Convert to fraction form
    200,869.32/301,321.49 = 65,892.92/x
  3. Step 3: Cross multiply
    200,869.32x = 301,321.49 × 65,892.92
  4. Step 4: Simplify right side
    200,869.32x = 19,854,950,998.78
  5. Step 5: Solve for x
    x = 19,854,950,998.78/200,869.32
  6. Step 6: Final answer
    x = 98,845.12

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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.