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Finding the Fourth Proportional to 110,188.40, 165,412.20 and 109,410.80

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Solution

The fourth proportional to 110,188.40, 165,412.20 and 109,410.80 is: 164,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,188.40 : 165,412.20 = 109,410.80 : x
  2. Step 2: Convert to fraction form
    110,188.40/165,412.20 = 109,410.80/x
  3. Step 3: Cross multiply
    110,188.40x = 165,412.20 × 109,410.80
  4. Step 4: Simplify right side
    110,188.40x = 18,097,881,131.76
  5. Step 5: Solve for x
    x = 18,097,881,131.76/110,188.40
  6. Step 6: Final answer
    x = 164,244.89

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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.