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Finding the Fourth Proportional to 151,294.22, 226,836.24 and 67,008.46

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Solution

The fourth proportional to 151,294.22, 226,836.24 and 67,008.46 is: 100,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,294.22 : 226,836.24 = 67,008.46 : x
  2. Step 2: Convert to fraction form
    151,294.22/226,836.24 = 67,008.46/x
  3. Step 3: Cross multiply
    151,294.22x = 226,836.24 × 67,008.46
  4. Step 4: Simplify right side
    151,294.22x = 15,199,946,296.22
  5. Step 5: Solve for x
    x = 15,199,946,296.22/151,294.22
  6. Step 6: Final answer
    x = 100,466.14

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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.