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Finding the Fourth Proportional to 82,212.78, 113,350.38 and 67,090.08

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Solution

The fourth proportional to 82,212.78, 113,350.38 and 67,090.08 is: 92,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,212.78 : 113,350.38 = 67,090.08 : x
  2. Step 2: Convert to fraction form
    82,212.78/113,350.38 = 67,090.08/x
  3. Step 3: Cross multiply
    82,212.78x = 113,350.38 × 67,090.08
  4. Step 4: Simplify right side
    82,212.78x = 7,604,686,062.23
  5. Step 5: Solve for x
    x = 7,604,686,062.23/82,212.78
  6. Step 6: Final answer
    x = 92,500.05

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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.