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Finding the Fourth Proportional to 185,612.26, 256,145.09 and 100,729.32

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Solution

The fourth proportional to 185,612.26, 256,145.09 and 100,729.32 is: 139,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,612.26 : 256,145.09 = 100,729.32 : x
  2. Step 2: Convert to fraction form
    185,612.26/256,145.09 = 100,729.32/x
  3. Step 3: Cross multiply
    185,612.26x = 256,145.09 × 100,729.32
  4. Step 4: Simplify right side
    185,612.26x = 25,801,320,737.04
  5. Step 5: Solve for x
    x = 25,801,320,737.04/185,612.26
  6. Step 6: Final answer
    x = 139,006.55

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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.