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Finding the Fourth Proportional to 105,028.23, 144,951.42 and 59,713.05

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Solution

The fourth proportional to 105,028.23, 144,951.42 and 59,713.05 is: 82,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,028.23 : 144,951.42 = 59,713.05 : x
  2. Step 2: Convert to fraction form
    105,028.23/144,951.42 = 59,713.05/x
  3. Step 3: Cross multiply
    105,028.23x = 144,951.42 × 59,713.05
  4. Step 4: Simplify right side
    105,028.23x = 8,655,491,390.03
  5. Step 5: Solve for x
    x = 8,655,491,390.03/105,028.23
  6. Step 6: Final answer
    x = 82,411.09

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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.