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Finding the Fourth Proportional to 110,206.99, 165,326.05 and 35,309.61

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Solution

The fourth proportional to 110,206.99, 165,326.05 and 35,309.61 is: 52,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,206.99 : 165,326.05 = 35,309.61 : x
  2. Step 2: Convert to fraction form
    110,206.99/165,326.05 = 35,309.61/x
  3. Step 3: Cross multiply
    110,206.99x = 165,326.05 × 35,309.61
  4. Step 4: Simplify right side
    110,206.99x = 5,837,598,348.34
  5. Step 5: Solve for x
    x = 5,837,598,348.34/110,206.99
  6. Step 6: Final answer
    x = 52,969.40

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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.