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Finding the Fourth Proportional to 106,018.17, 146,306.19 and 57,620.09

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Solution

The fourth proportional to 106,018.17, 146,306.19 and 57,620.09 is: 79,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,018.17 : 146,306.19 = 57,620.09 : x
  2. Step 2: Convert to fraction form
    106,018.17/146,306.19 = 57,620.09/x
  3. Step 3: Cross multiply
    106,018.17x = 146,306.19 × 57,620.09
  4. Step 4: Simplify right side
    106,018.17x = 8,430,175,103.83
  5. Step 5: Solve for x
    x = 8,430,175,103.83/106,018.17
  6. Step 6: Final answer
    x = 79,516.32

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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.