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Finding the Fourth Proportional to 185,989.80, 256,662.90 and 101,109

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Solution

The fourth proportional to 185,989.80, 256,662.90 and 101,109 is: 139,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,989.80 : 256,662.90 = 101,109 : x
  2. Step 2: Convert to fraction form
    185,989.80/256,662.90 = 101,109/x
  3. Step 3: Cross multiply
    185,989.80x = 256,662.90 × 101,109
  4. Step 4: Simplify right side
    185,989.80x = 25,950,929,156.10
  5. Step 5: Solve for x
    x = 25,950,929,156.10/185,989.80
  6. Step 6: Final answer
    x = 139,528.78

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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.