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Finding the Fourth Proportional to 200,827.23, 301,250.87 and 65,879.36

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Solution

The fourth proportional to 200,827.23, 301,250.87 and 65,879.36 is: 98,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,827.23 : 301,250.87 = 65,879.36 : x
  2. Step 2: Convert to fraction form
    200,827.23/301,250.87 = 65,879.36/x
  3. Step 3: Cross multiply
    200,827.23x = 301,250.87 × 65,879.36
  4. Step 4: Simplify right side
    200,827.23x = 19,846,212,679.39
  5. Step 5: Solve for x
    x = 19,846,212,679.39/200,827.23
  6. Step 6: Final answer
    x = 98,822.32

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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.