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Finding the Fourth Proportional to 214,087.68, 295,133.28 and 150,227.52

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Solution

The fourth proportional to 214,087.68, 295,133.28 and 150,227.52 is: 207,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,087.68 : 295,133.28 = 150,227.52 : x
  2. Step 2: Convert to fraction form
    214,087.68/295,133.28 = 150,227.52/x
  3. Step 3: Cross multiply
    214,087.68x = 295,133.28 × 150,227.52
  4. Step 4: Simplify right side
    214,087.68x = 44,337,140,723.87
  5. Step 5: Solve for x
    x = 44,337,140,723.87/214,087.68
  6. Step 6: Final answer
    x = 207,098.05

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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.