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Finding the Fourth Proportional to 140,969.90, 211,080.72 and 110,269.08

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Solution

The fourth proportional to 140,969.90, 211,080.72 and 110,269.08 is: 165,110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,969.90 : 211,080.72 = 110,269.08 : x
  2. Step 2: Convert to fraction form
    140,969.90/211,080.72 = 110,269.08/x
  3. Step 3: Cross multiply
    140,969.90x = 211,080.72 × 110,269.08
  4. Step 4: Simplify right side
    140,969.90x = 23,275,676,800.14
  5. Step 5: Solve for x
    x = 23,275,676,800.14/140,969.90
  6. Step 6: Final answer
    x = 165,110.97

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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.