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Finding the Fourth Proportional to 109,898.80, 164,891.40 and 43,327.60

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Solution

The fourth proportional to 109,898.80, 164,891.40 and 43,327.60 is: 65,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,898.80 : 164,891.40 = 43,327.60 : x
  2. Step 2: Convert to fraction form
    109,898.80/164,891.40 = 43,327.60/x
  3. Step 3: Cross multiply
    109,898.80x = 164,891.40 × 43,327.60
  4. Step 4: Simplify right side
    109,898.80x = 7,144,348,622.64
  5. Step 5: Solve for x
    x = 7,144,348,622.64/109,898.80
  6. Step 6: Final answer
    x = 65,008.43

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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.