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Finding the Fourth Proportional to 110,284.59, 165,426.89 and 27,178.59

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Solution

The fourth proportional to 110,284.59, 165,426.89 and 27,178.59 is: 40,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,284.59 : 165,426.89 = 27,178.59 : x
  2. Step 2: Convert to fraction form
    110,284.59/165,426.89 = 27,178.59/x
  3. Step 3: Cross multiply
    110,284.59x = 165,426.89 × 27,178.59
  4. Step 4: Simplify right side
    110,284.59x = 4,496,070,255.62
  5. Step 5: Solve for x
    x = 4,496,070,255.62/110,284.59
  6. Step 6: Final answer
    x = 40,767.89

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1.5x scale

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.