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Finding the Fourth Proportional to 110,654.80, 165,784.20 and 67,298.80

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Solution

The fourth proportional to 110,654.80, 165,784.20 and 67,298.80 is: 100,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,654.80 : 165,784.20 = 67,298.80 : x
  2. Step 2: Convert to fraction form
    110,654.80/165,784.20 = 67,298.80/x
  3. Step 3: Cross multiply
    110,654.80x = 165,784.20 × 67,298.80
  4. Step 4: Simplify right side
    110,654.80x = 11,157,077,718.96
  5. Step 5: Solve for x
    x = 11,157,077,718.96/110,654.80
  6. Step 6: Final answer
    x = 100,827.78

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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.