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Finding the Fourth Proportional to 185,343.24, 255,801 and 117,366.42

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Solution

The fourth proportional to 185,343.24, 255,801 and 117,366.42 is: 161,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,343.24 : 255,801 = 117,366.42 : x
  2. Step 2: Convert to fraction form
    185,343.24/255,801 = 117,366.42/x
  3. Step 3: Cross multiply
    185,343.24x = 255,801 × 117,366.42
  4. Step 4: Simplify right side
    185,343.24x = 30,022,447,602.42
  5. Step 5: Solve for x
    x = 30,022,447,602.42/185,343.24
  6. Step 6: Final answer
    x = 161,982.97

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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.