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Finding the Fourth Proportional to 106,716.60, 160,171.80 and 56,838.96

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Solution

The fourth proportional to 106,716.60, 160,171.80 and 56,838.96 is: 85,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,716.60 : 160,171.80 = 56,838.96 : x
  2. Step 2: Convert to fraction form
    106,716.60/160,171.80 = 56,838.96/x
  3. Step 3: Cross multiply
    106,716.60x = 160,171.80 × 56,838.96
  4. Step 4: Simplify right side
    106,716.60x = 9,103,998,533.33
  5. Step 5: Solve for x
    x = 9,103,998,533.33/106,716.60
  6. Step 6: Final answer
    x = 85,310.05

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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.