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Finding the Fourth Proportional to 92,120.49, 137,462.27 and 82,191.51

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Solution

The fourth proportional to 92,120.49, 137,462.27 and 82,191.51 is: 122,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,120.49 : 137,462.27 = 82,191.51 : x
  2. Step 2: Convert to fraction form
    92,120.49/137,462.27 = 82,191.51/x
  3. Step 3: Cross multiply
    92,120.49x = 137,462.27 × 82,191.51
  4. Step 4: Simplify right side
    92,120.49x = 11,298,231,128.37
  5. Step 5: Solve for x
    x = 11,298,231,128.37/92,120.49
  6. Step 6: Final answer
    x = 122,646.23

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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.