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Finding the Fourth Proportional to 106,656.35, 160,072.00 and 54,080.87

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Solution

The fourth proportional to 106,656.35, 160,072.00 and 54,080.87 is: 81,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,656.35 : 160,072.00 = 54,080.87 : x
  2. Step 2: Convert to fraction form
    106,656.35/160,072.00 = 54,080.87/x
  3. Step 3: Cross multiply
    106,656.35x = 160,072.00 × 54,080.87
  4. Step 4: Simplify right side
    106,656.35x = 8,656,832,087.08
  5. Step 5: Solve for x
    x = 8,656,832,087.08/106,656.35
  6. Step 6: Final answer
    x = 81,165.65

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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.