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Finding the Fourth Proportional to 108,202.56, 149,292.36 and 67,398.82

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Solution

The fourth proportional to 108,202.56, 149,292.36 and 67,398.82 is: 92,993.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,202.56 : 149,292.36 = 67,398.82 : x
  2. Step 2: Convert to fraction form
    108,202.56/149,292.36 = 67,398.82/x
  3. Step 3: Cross multiply
    108,202.56x = 149,292.36 × 67,398.82
  4. Step 4: Simplify right side
    108,202.56x = 10,062,128,899.02
  5. Step 5: Solve for x
    x = 10,062,128,899.02/108,202.56
  6. Step 6: Final answer
    x = 92,993.45

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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.