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Finding the Fourth Proportional to 98,104.26, 135,431.86 and 65,827.32

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Solution

The fourth proportional to 98,104.26, 135,431.86 and 65,827.32 is: 90,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,104.26 : 135,431.86 = 65,827.32 : x
  2. Step 2: Convert to fraction form
    98,104.26/135,431.86 = 65,827.32/x
  3. Step 3: Cross multiply
    98,104.26x = 135,431.86 × 65,827.32
  4. Step 4: Simplify right side
    98,104.26x = 8,915,116,386.42
  5. Step 5: Solve for x
    x = 8,915,116,386.42/98,104.26
  6. Step 6: Final answer
    x = 90,873.90

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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.