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Finding the Fourth Proportional to 149,357.33, 206,189.29 and 101,213.60

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Solution

The fourth proportional to 149,357.33, 206,189.29 and 101,213.60 is: 139,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,357.33 : 206,189.29 = 101,213.60 : x
  2. Step 2: Convert to fraction form
    149,357.33/206,189.29 = 101,213.60/x
  3. Step 3: Cross multiply
    149,357.33x = 206,189.29 × 101,213.60
  4. Step 4: Simplify right side
    149,357.33x = 20,869,160,001.35
  5. Step 5: Solve for x
    x = 20,869,160,001.35/149,357.33
  6. Step 6: Final answer
    x = 139,726.39

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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.