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Finding the Fourth Proportional to 146,874.36, 202,686.12 and 83,224.29

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Solution

The fourth proportional to 146,874.36, 202,686.12 and 83,224.29 is: 114,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,874.36 : 202,686.12 = 83,224.29 : x
  2. Step 2: Convert to fraction form
    146,874.36/202,686.12 = 83,224.29/x
  3. Step 3: Cross multiply
    146,874.36x = 202,686.12 × 83,224.29
  4. Step 4: Simplify right side
    146,874.36x = 16,868,408,429.85
  5. Step 5: Solve for x
    x = 16,868,408,429.85/146,874.36
  6. Step 6: Final answer
    x = 114,849.24

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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.