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Finding the Fourth Proportional to 228,166.24, 341,964.24 and 109,805.80

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Solution

The fourth proportional to 228,166.24, 341,964.24 and 109,805.80 is: 164,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,166.24 : 341,964.24 = 109,805.80 : x
  2. Step 2: Convert to fraction form
    228,166.24/341,964.24 = 109,805.80/x
  3. Step 3: Cross multiply
    228,166.24x = 341,964.24 × 109,805.80
  4. Step 4: Simplify right side
    228,166.24x = 37,549,656,944.59
  5. Step 5: Solve for x
    x = 37,549,656,944.59/228,166.24
  6. Step 6: Final answer
    x = 164,571.49

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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.