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Finding the Fourth Proportional to 146,165.96, 201,714.78 and 82,505.96

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Solution

The fourth proportional to 146,165.96, 201,714.78 and 82,505.96 is: 113,861.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,165.96 : 201,714.78 = 82,505.96 : x
  2. Step 2: Convert to fraction form
    146,165.96/201,714.78 = 82,505.96/x
  3. Step 3: Cross multiply
    146,165.96x = 201,714.78 × 82,505.96
  4. Step 4: Simplify right side
    146,165.96x = 16,642,671,570.09
  5. Step 5: Solve for x
    x = 16,642,671,570.09/146,165.96
  6. Step 6: Final answer
    x = 113,861.47

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1.5x scale

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.