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Finding the Fourth Proportional to 136,697.68, 205,057.22 and 36,856.34

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Solution

The fourth proportional to 136,697.68, 205,057.22 and 36,856.34 is: 55,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,697.68 : 205,057.22 = 36,856.34 : x
  2. Step 2: Convert to fraction form
    136,697.68/205,057.22 = 36,856.34/x
  3. Step 3: Cross multiply
    136,697.68x = 205,057.22 × 36,856.34
  4. Step 4: Simplify right side
    136,697.68x = 7,557,658,619.77
  5. Step 5: Solve for x
    x = 7,557,658,619.77/136,697.68
  6. Step 6: Final answer
    x = 55,287.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.