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Finding the Fourth Proportional to 106,878.37, 160,227 and 46,861.36

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Solution

The fourth proportional to 106,878.37, 160,227 and 46,861.36 is: 70,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,878.37 : 160,227 = 46,861.36 : x
  2. Step 2: Convert to fraction form
    106,878.37/160,227 = 46,861.36/x
  3. Step 3: Cross multiply
    106,878.37x = 160,227 × 46,861.36
  4. Step 4: Simplify right side
    106,878.37x = 7,508,454,728.15
  5. Step 5: Solve for x
    x = 7,508,454,728.15/106,878.37
  6. Step 6: Final answer
    x = 70,252.33

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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.