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Finding the Fourth Proportional to 200,026.12, 300,104.88 and 81,796.90

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Solution

The fourth proportional to 200,026.12, 300,104.88 and 81,796.90 is: 122,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,026.12 : 300,104.88 = 81,796.90 : x
  2. Step 2: Convert to fraction form
    200,026.12/300,104.88 = 81,796.90/x
  3. Step 3: Cross multiply
    200,026.12x = 300,104.88 × 81,796.90
  4. Step 4: Simplify right side
    200,026.12x = 24,547,648,858.87
  5. Step 5: Solve for x
    x = 24,547,648,858.87/200,026.12
  6. Step 6: Final answer
    x = 122,722.22

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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.