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Finding the Fourth Proportional to 106,055.40, 158,874.87 and 61,589.13

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Solution

The fourth proportional to 106,055.40, 158,874.87 and 61,589.13 is: 92,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,055.40 : 158,874.87 = 61,589.13 : x
  2. Step 2: Convert to fraction form
    106,055.40/158,874.87 = 61,589.13/x
  3. Step 3: Cross multiply
    106,055.40x = 158,874.87 × 61,589.13
  4. Step 4: Simplify right side
    106,055.40x = 9,784,965,022.16
  5. Step 5: Solve for x
    x = 9,784,965,022.16/106,055.40
  6. Step 6: Final answer
    x = 92,262.77

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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.