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Finding the Fourth Proportional to 110,219.64, 165,248.06 and 35,296.44

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Solution

The fourth proportional to 110,219.64, 165,248.06 and 35,296.44 is: 52,918.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,219.64 : 165,248.06 = 35,296.44 : x
  2. Step 2: Convert to fraction form
    110,219.64/165,248.06 = 35,296.44/x
  3. Step 3: Cross multiply
    110,219.64x = 165,248.06 × 35,296.44
  4. Step 4: Simplify right side
    110,219.64x = 5,832,668,058.42
  5. Step 5: Solve for x
    x = 5,832,668,058.42/110,219.64
  6. Step 6: Final answer
    x = 52,918.59

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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.