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Finding the Fourth Proportional to 106,046.16, 146,346.50 and 57,651.34

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Solution

The fourth proportional to 106,046.16, 146,346.50 and 57,651.34 is: 79,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,046.16 : 146,346.50 = 57,651.34 : x
  2. Step 2: Convert to fraction form
    106,046.16/146,346.50 = 57,651.34/x
  3. Step 3: Cross multiply
    106,046.16x = 146,346.50 × 57,651.34
  4. Step 4: Simplify right side
    106,046.16x = 8,437,071,541.05
  5. Step 5: Solve for x
    x = 8,437,071,541.05/106,046.16
  6. Step 6: Final answer
    x = 79,560.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.