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Finding the Fourth Proportional to 150,199.72, 207,267.38 and 85,659.48

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Solution

The fourth proportional to 150,199.72, 207,267.38 and 85,659.48 is: 118,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,199.72 : 207,267.38 = 85,659.48 : x
  2. Step 2: Convert to fraction form
    150,199.72/207,267.38 = 85,659.48/x
  3. Step 3: Cross multiply
    150,199.72x = 207,267.38 × 85,659.48
  4. Step 4: Simplify right side
    150,199.72x = 17,754,415,991.76
  5. Step 5: Solve for x
    x = 17,754,415,991.76/150,199.72
  6. Step 6: Final answer
    x = 118,205.39

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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.