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Finding the Fourth Proportional to 110,419.20, 165,628.80 and 57,844.80

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Solution

The fourth proportional to 110,419.20, 165,628.80 and 57,844.80 is: 86,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,419.20 : 165,628.80 = 57,844.80 : x
  2. Step 2: Convert to fraction form
    110,419.20/165,628.80 = 57,844.80/x
  3. Step 3: Cross multiply
    110,419.20x = 165,628.80 × 57,844.80
  4. Step 4: Simplify right side
    110,419.20x = 9,580,764,810.24
  5. Step 5: Solve for x
    x = 9,580,764,810.24/110,419.20
  6. Step 6: Final answer
    x = 86,767.20

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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.