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Finding the Fourth Proportional to 164,114.13, 226,478.12 and 103,711.62

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Solution

The fourth proportional to 164,114.13, 226,478.12 and 103,711.62 is: 143,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,114.13 : 226,478.12 = 103,711.62 : x
  2. Step 2: Convert to fraction form
    164,114.13/226,478.12 = 103,711.62/x
  3. Step 3: Cross multiply
    164,114.13x = 226,478.12 × 103,711.62
  4. Step 4: Simplify right side
    164,114.13x = 23,488,412,201.20
  5. Step 5: Solve for x
    x = 23,488,412,201.20/164,114.13
  6. Step 6: Final answer
    x = 143,122.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.