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Finding the Fourth Proportional to 185,649.56, 256,196.64 and 100,766.66

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Solution

The fourth proportional to 185,649.56, 256,196.64 and 100,766.66 is: 139,058.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,649.56 : 256,196.64 = 100,766.66 : x
  2. Step 2: Convert to fraction form
    185,649.56/256,196.64 = 100,766.66/x
  3. Step 3: Cross multiply
    185,649.56x = 256,196.64 × 100,766.66
  4. Step 4: Simplify right side
    185,649.56x = 25,816,079,716.02
  5. Step 5: Solve for x
    x = 25,816,079,716.02/185,649.56
  6. Step 6: Final answer
    x = 139,058.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.