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Finding the Fourth Proportional to 98,266.91, 135,608.78 and 55,827.77

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Solution

The fourth proportional to 98,266.91, 135,608.78 and 55,827.77 is: 77,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,266.91 : 135,608.78 = 55,827.77 : x
  2. Step 2: Convert to fraction form
    98,266.91/135,608.78 = 55,827.77/x
  3. Step 3: Cross multiply
    98,266.91x = 135,608.78 × 55,827.77
  4. Step 4: Simplify right side
    98,266.91x = 7,570,735,241.35
  5. Step 5: Solve for x
    x = 7,570,735,241.35/98,266.91
  6. Step 6: Final answer
    x = 77,042.57

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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.