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Finding the Fourth Proportional to 164,565.36, 226,930.32 and 140,770.80

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Solution

The fourth proportional to 164,565.36, 226,930.32 and 140,770.80 is: 194,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,565.36 : 226,930.32 = 140,770.80 : x
  2. Step 2: Convert to fraction form
    164,565.36/226,930.32 = 140,770.80/x
  3. Step 3: Cross multiply
    164,565.36x = 226,930.32 × 140,770.80
  4. Step 4: Simplify right side
    164,565.36x = 31,945,162,690.66
  5. Step 5: Solve for x
    x = 31,945,162,690.66/164,565.36
  6. Step 6: Final answer
    x = 194,118.39

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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.