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Finding the Fourth Proportional to 146,874.72, 202,695.12 and 83,224.92

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Solution

The fourth proportional to 146,874.72, 202,695.12 and 83,224.92 is: 114,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,874.72 : 202,695.12 = 83,224.92 : x
  2. Step 2: Convert to fraction form
    146,874.72/202,695.12 = 83,224.92/x
  3. Step 3: Cross multiply
    146,874.72x = 202,695.12 × 83,224.92
  4. Step 4: Simplify right side
    146,874.72x = 16,869,285,146.39
  5. Step 5: Solve for x
    x = 16,869,285,146.39/146,874.72
  6. Step 6: Final answer
    x = 114,854.93

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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.