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Finding the Fourth Proportional to 101,605.25, 140,215.23 and 56,286.17

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Solution

The fourth proportional to 101,605.25, 140,215.23 and 56,286.17 is: 77,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,605.25 : 140,215.23 = 56,286.17 : x
  2. Step 2: Convert to fraction form
    101,605.25/140,215.23 = 56,286.17/x
  3. Step 3: Cross multiply
    101,605.25x = 140,215.23 × 56,286.17
  4. Step 4: Simplify right side
    101,605.25x = 7,892,178,097.10
  5. Step 5: Solve for x
    x = 7,892,178,097.10/101,605.25
  6. Step 6: Final answer
    x = 77,674.90

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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.