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Finding the Fourth Proportional to 110,522.13, 165,832.20 and 57,919.11

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Solution

The fourth proportional to 110,522.13, 165,832.20 and 57,919.11 is: 86,904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,522.13 : 165,832.20 = 57,919.11 : x
  2. Step 2: Convert to fraction form
    110,522.13/165,832.20 = 57,919.11/x
  3. Step 3: Cross multiply
    110,522.13x = 165,832.20 × 57,919.11
  4. Step 4: Simplify right side
    110,522.13x = 9,604,853,433.34
  5. Step 5: Solve for x
    x = 9,604,853,433.34/110,522.13
  6. Step 6: Final answer
    x = 86,904.35

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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.