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Finding the Fourth Proportional to 185,649.01, 256,196.13 and 100,766.07

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Solution

The fourth proportional to 185,649.01, 256,196.13 and 100,766.07 is: 139,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,649.01 : 256,196.13 = 100,766.07 : x
  2. Step 2: Convert to fraction form
    185,649.01/256,196.13 = 100,766.07/x
  3. Step 3: Cross multiply
    185,649.01x = 256,196.13 × 100,766.07
  4. Step 4: Simplify right side
    185,649.01x = 25,815,877,169.31
  5. Step 5: Solve for x
    x = 25,815,877,169.31/185,649.01
  6. Step 6: Final answer
    x = 139,057.45

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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.