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Finding the Fourth Proportional to 146,616.96, 202,335.96 and 82,953.48

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Solution

The fourth proportional to 146,616.96, 202,335.96 and 82,953.48 is: 114,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,616.96 : 202,335.96 = 82,953.48 : x
  2. Step 2: Convert to fraction form
    146,616.96/202,335.96 = 82,953.48/x
  3. Step 3: Cross multiply
    146,616.96x = 202,335.96 × 82,953.48
  4. Step 4: Simplify right side
    146,616.96x = 16,784,472,011.14
  5. Step 5: Solve for x
    x = 16,784,472,011.14/146,616.96
  6. Step 6: Final answer
    x = 114,478.38

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Why These Related Problems?

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