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Finding the Fourth Proportional to 146,317.22, 201,934.14 and 82,659.11

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Solution

The fourth proportional to 146,317.22, 201,934.14 and 82,659.11 is: 114,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,317.22 : 201,934.14 = 82,659.11 : x
  2. Step 2: Convert to fraction form
    146,317.22/201,934.14 = 82,659.11/x
  3. Step 3: Cross multiply
    146,317.22x = 201,934.14 × 82,659.11
  4. Step 4: Simplify right side
    146,317.22x = 16,691,696,291.02
  5. Step 5: Solve for x
    x = 16,691,696,291.02/146,317.22
  6. Step 6: Final answer
    x = 114,078.83

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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.