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Finding the Fourth Proportional to 111,301.42, 165,959.30 and 98,937.58

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Solution

The fourth proportional to 111,301.42, 165,959.30 and 98,937.58 is: 147,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,301.42 : 165,959.30 = 98,937.58 : x
  2. Step 2: Convert to fraction form
    111,301.42/165,959.30 = 98,937.58/x
  3. Step 3: Cross multiply
    111,301.42x = 165,959.30 × 98,937.58
  4. Step 4: Simplify right side
    111,301.42x = 16,419,611,520.49
  5. Step 5: Solve for x
    x = 16,419,611,520.49/111,301.42
  6. Step 6: Final answer
    x = 147,523.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.