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Finding the Fourth Proportional to 110,493.30, 165,884.49 and 65,596.62

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Solution

The fourth proportional to 110,493.30, 165,884.49 and 65,596.62 is: 98,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,493.30 : 165,884.49 = 65,596.62 : x
  2. Step 2: Convert to fraction form
    110,493.30/165,884.49 = 65,596.62/x
  3. Step 3: Cross multiply
    110,493.30x = 165,884.49 × 65,596.62
  4. Step 4: Simplify right side
    110,493.30x = 10,881,461,854.42
  5. Step 5: Solve for x
    x = 10,881,461,854.42/110,493.30
  6. Step 6: Final answer
    x = 98,480.74

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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.