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Finding the Fourth Proportional to 150,536.53, 207,725.44 and 86,894.83

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Solution

The fourth proportional to 150,536.53, 207,725.44 and 86,894.83 is: 119,906.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,536.53 : 207,725.44 = 86,894.83 : x
  2. Step 2: Convert to fraction form
    150,536.53/207,725.44 = 86,894.83/x
  3. Step 3: Cross multiply
    150,536.53x = 207,725.44 × 86,894.83
  4. Step 4: Simplify right side
    150,536.53x = 18,050,265,587.98
  5. Step 5: Solve for x
    x = 18,050,265,587.98/150,536.53
  6. Step 6: Final answer
    x = 119,906.22

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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.