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Finding the Fourth Proportional to 122,051.50, 182,961.82 and 92,019.14

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Solution

The fourth proportional to 122,051.50, 182,961.82 and 92,019.14 is: 137,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,051.50 : 182,961.82 = 92,019.14 : x
  2. Step 2: Convert to fraction form
    122,051.50/182,961.82 = 92,019.14/x
  3. Step 3: Cross multiply
    122,051.50x = 182,961.82 × 92,019.14
  4. Step 4: Simplify right side
    122,051.50x = 16,835,989,329.23
  5. Step 5: Solve for x
    x = 16,835,989,329.23/122,051.50
  6. Step 6: Final answer
    x = 137,941.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.