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Finding the Fourth Proportional to 150,806.31, 226,214.88 and 75,885.66

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Solution

The fourth proportional to 150,806.31, 226,214.88 and 75,885.66 is: 113,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,806.31 : 226,214.88 = 75,885.66 : x
  2. Step 2: Convert to fraction form
    150,806.31/226,214.88 = 75,885.66/x
  3. Step 3: Cross multiply
    150,806.31x = 226,214.88 × 75,885.66
  4. Step 4: Simplify right side
    150,806.31x = 17,166,465,186.05
  5. Step 5: Solve for x
    x = 17,166,465,186.05/150,806.31
  6. Step 6: Final answer
    x = 113,831.22

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1.5x scale

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.