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Finding the Fourth Proportional to 98,108.82, 135,513.81 and 85,336.74

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Solution

The fourth proportional to 98,108.82, 135,513.81 and 85,336.74 is: 117,872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,108.82 : 135,513.81 = 85,336.74 : x
  2. Step 2: Convert to fraction form
    98,108.82/135,513.81 = 85,336.74/x
  3. Step 3: Cross multiply
    98,108.82x = 135,513.81 × 85,336.74
  4. Step 4: Simplify right side
    98,108.82x = 11,564,306,770.38
  5. Step 5: Solve for x
    x = 11,564,306,770.38/98,108.82
  6. Step 6: Final answer
    x = 117,872.24

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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.