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Finding the Fourth Proportional to 106,905.71, 160,311.17 and 56,976.50

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Solution

The fourth proportional to 106,905.71, 160,311.17 and 56,976.50 is: 85,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,905.71 : 160,311.17 = 56,976.50 : x
  2. Step 2: Convert to fraction form
    106,905.71/160,311.17 = 56,976.50/x
  3. Step 3: Cross multiply
    106,905.71x = 160,311.17 × 56,976.50
  4. Step 4: Simplify right side
    106,905.71x = 9,133,968,291.07
  5. Step 5: Solve for x
    x = 9,133,968,291.07/106,905.71
  6. Step 6: Final answer
    x = 85,439.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.