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Finding the Fourth Proportional to 92,091.74, 137,613.38 and 69,146

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Solution

The fourth proportional to 92,091.74, 137,613.38 and 69,146 is: 103,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,091.74 : 137,613.38 = 69,146 : x
  2. Step 2: Convert to fraction form
    92,091.74/137,613.38 = 69,146/x
  3. Step 3: Cross multiply
    92,091.74x = 137,613.38 × 69,146
  4. Step 4: Simplify right side
    92,091.74x = 9,515,414,773.48
  5. Step 5: Solve for x
    x = 9,515,414,773.48/92,091.74
  6. Step 6: Final answer
    x = 103,325.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.