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Finding the Fourth Proportional to 146,366.74, 201,983.48 and 82,703.16

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Solution

The fourth proportional to 146,366.74, 201,983.48 and 82,703.16 is: 114,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,366.74 : 201,983.48 = 82,703.16 : x
  2. Step 2: Convert to fraction form
    146,366.74/201,983.48 = 82,703.16/x
  3. Step 3: Cross multiply
    146,366.74x = 201,983.48 × 82,703.16
  4. Step 4: Simplify right side
    146,366.74x = 16,704,672,063.80
  5. Step 5: Solve for x
    x = 16,704,672,063.80/146,366.74
  6. Step 6: Final answer
    x = 114,128.88

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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.