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Finding the Fourth Proportional to 146,065.11, 201,569.90 and 82,416.39

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Solution

The fourth proportional to 146,065.11, 201,569.90 and 82,416.39 is: 113,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,065.11 : 201,569.90 = 82,416.39 : x
  2. Step 2: Convert to fraction form
    146,065.11/201,569.90 = 82,416.39/x
  3. Step 3: Cross multiply
    146,065.11x = 201,569.90 × 82,416.39
  4. Step 4: Simplify right side
    146,065.11x = 16,612,663,078.58
  5. Step 5: Solve for x
    x = 16,612,663,078.58/146,065.11
  6. Step 6: Final answer
    x = 113,734.64

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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.