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Finding the Fourth Proportional to 105,028.14, 144,962.28 and 66,780.21

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Solution

The fourth proportional to 105,028.14, 144,962.28 and 66,780.21 is: 92,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,028.14 : 144,962.28 = 66,780.21 : x
  2. Step 2: Convert to fraction form
    105,028.14/144,962.28 = 66,780.21/x
  3. Step 3: Cross multiply
    105,028.14x = 144,962.28 × 66,780.21
  4. Step 4: Simplify right side
    105,028.14x = 9,680,611,500.48
  5. Step 5: Solve for x
    x = 9,680,611,500.48/105,028.14
  6. Step 6: Final answer
    x = 92,171.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.