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Finding the Fourth Proportional to 279,200.90, 418,801.35 and 110,761.40

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Solution

The fourth proportional to 279,200.90, 418,801.35 and 110,761.40 is: 166,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,200.90 : 418,801.35 = 110,761.40 : x
  2. Step 2: Convert to fraction form
    279,200.90/418,801.35 = 110,761.40/x
  3. Step 3: Cross multiply
    279,200.90x = 418,801.35 × 110,761.40
  4. Step 4: Simplify right side
    279,200.90x = 46,387,023,847.89
  5. Step 5: Solve for x
    x = 46,387,023,847.89/279,200.90
  6. Step 6: Final answer
    x = 166,142.10

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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.