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Finding the Fourth Proportional to 110,508.13, 165,811.20 and 57,905.11

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Solution

The fourth proportional to 110,508.13, 165,811.20 and 57,905.11 is: 86,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,508.13 : 165,811.20 = 57,905.11 : x
  2. Step 2: Convert to fraction form
    110,508.13/165,811.20 = 57,905.11/x
  3. Step 3: Cross multiply
    110,508.13x = 165,811.20 × 57,905.11
  4. Step 4: Simplify right side
    110,508.13x = 9,601,315,775.23
  5. Step 5: Solve for x
    x = 9,601,315,775.23/110,508.13
  6. Step 6: Final answer
    x = 86,883.34

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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.