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Finding the Fourth Proportional to 109,771.20, 164,656.80 and 26,665.20

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Solution

The fourth proportional to 109,771.20, 164,656.80 and 26,665.20 is: 39,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,771.20 : 164,656.80 = 26,665.20 : x
  2. Step 2: Convert to fraction form
    109,771.20/164,656.80 = 26,665.20/x
  3. Step 3: Cross multiply
    109,771.20x = 164,656.80 × 26,665.20
  4. Step 4: Simplify right side
    109,771.20x = 4,390,606,503.36
  5. Step 5: Solve for x
    x = 4,390,606,503.36/109,771.20
  6. Step 6: Final answer
    x = 39,997.80

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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.