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Finding the Fourth Proportional to 136,754, 205,137.24 and 41,977.28

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Solution

The fourth proportional to 136,754, 205,137.24 and 41,977.28 is: 62,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,754 : 205,137.24 = 41,977.28 : x
  2. Step 2: Convert to fraction form
    136,754/205,137.24 = 41,977.28/x
  3. Step 3: Cross multiply
    136,754x = 205,137.24 × 41,977.28
  4. Step 4: Simplify right side
    136,754x = 8,611,103,361.91
  5. Step 5: Solve for x
    x = 8,611,103,361.91/136,754
  6. Step 6: Final answer
    x = 62,967.84

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