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Finding the Fourth Proportional to 92,122.48, 137,465.27 and 82,193.52

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Solution

The fourth proportional to 92,122.48, 137,465.27 and 82,193.52 is: 122,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,122.48 : 137,465.27 = 82,193.52 : x
  2. Step 2: Convert to fraction form
    92,122.48/137,465.27 = 82,193.52/x
  3. Step 3: Cross multiply
    92,122.48x = 137,465.27 × 82,193.52
  4. Step 4: Simplify right side
    92,122.48x = 11,298,754,419.05
  5. Step 5: Solve for x
    x = 11,298,754,419.05/92,122.48
  6. Step 6: Final answer
    x = 122,649.26

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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.