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Finding the Fourth Proportional to 310,851.92, 466,277.84 and 86,212.34

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Solution

The fourth proportional to 310,851.92, 466,277.84 and 86,212.34 is: 129,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,851.92 : 466,277.84 = 86,212.34 : x
  2. Step 2: Convert to fraction form
    310,851.92/466,277.84 = 86,212.34/x
  3. Step 3: Cross multiply
    310,851.92x = 466,277.84 × 86,212.34
  4. Step 4: Simplify right side
    310,851.92x = 40,198,906,093.69
  5. Step 5: Solve for x
    x = 40,198,906,093.69/310,851.92
  6. Step 6: Final answer
    x = 129,318.51

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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.