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Finding the Fourth Proportional to 164,394.58, 226,864.61 and 114,122.74

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Solution

The fourth proportional to 164,394.58, 226,864.61 and 114,122.74 is: 157,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,394.58 : 226,864.61 = 114,122.74 : x
  2. Step 2: Convert to fraction form
    164,394.58/226,864.61 = 114,122.74/x
  3. Step 3: Cross multiply
    164,394.58x = 226,864.61 × 114,122.74
  4. Step 4: Simplify right side
    164,394.58x = 25,890,410,902.23
  5. Step 5: Solve for x
    x = 25,890,410,902.23/164,394.58
  6. Step 6: Final answer
    x = 157,489.44

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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.