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Finding the Fourth Proportional to 110,199.60, 165,323.70 and 35,323.20

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Solution

The fourth proportional to 110,199.60, 165,323.70 and 35,323.20 is: 52,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,199.60 : 165,323.70 = 35,323.20 : x
  2. Step 2: Convert to fraction form
    110,199.60/165,323.70 = 35,323.20/x
  3. Step 3: Cross multiply
    110,199.60x = 165,323.70 × 35,323.20
  4. Step 4: Simplify right side
    110,199.60x = 5,839,762,119.84
  5. Step 5: Solve for x
    x = 5,839,762,119.84/110,199.60
  6. Step 6: Final answer
    x = 52,992.59

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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.