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Finding the Fourth Proportional to 110,066.60, 165,099.90 and 83,822.60

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Solution

The fourth proportional to 110,066.60, 165,099.90 and 83,822.60 is: 125,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,066.60 : 165,099.90 = 83,822.60 : x
  2. Step 2: Convert to fraction form
    110,066.60/165,099.90 = 83,822.60/x
  3. Step 3: Cross multiply
    110,066.60x = 165,099.90 × 83,822.60
  4. Step 4: Simplify right side
    110,066.60x = 13,839,102,877.74
  5. Step 5: Solve for x
    x = 13,839,102,877.74/110,066.60
  6. Step 6: Final answer
    x = 125,733.90

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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.