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Finding the Fourth Proportional to 146,355.39, 201,965.27 and 82,691.82

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Solution

The fourth proportional to 146,355.39, 201,965.27 and 82,691.82 is: 114,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,355.39 : 201,965.27 = 82,691.82 : x
  2. Step 2: Convert to fraction form
    146,355.39/201,965.27 = 82,691.82/x
  3. Step 3: Cross multiply
    146,355.39x = 201,965.27 × 82,691.82
  4. Step 4: Simplify right side
    146,355.39x = 16,700,875,339.63
  5. Step 5: Solve for x
    x = 16,700,875,339.63/146,355.39
  6. Step 6: Final answer
    x = 114,111.79

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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.