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Finding the Fourth Proportional to 185,989.16, 256,231.14 and 129,302.12

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Solution

The fourth proportional to 185,989.16, 256,231.14 and 129,302.12 is: 178,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,989.16 : 256,231.14 = 129,302.12 : x
  2. Step 2: Convert to fraction form
    185,989.16/256,231.14 = 129,302.12/x
  3. Step 3: Cross multiply
    185,989.16x = 256,231.14 × 129,302.12
  4. Step 4: Simplify right side
    185,989.16x = 33,131,229,612.02
  5. Step 5: Solve for x
    x = 33,131,229,612.02/185,989.16
  6. Step 6: Final answer
    x = 178,135.27

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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.