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Finding the Fourth Proportional to 146,206.66, 201,753.93 and 82,550.74

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Solution

The fourth proportional to 146,206.66, 201,753.93 and 82,550.74 is: 113,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,206.66 : 201,753.93 = 82,550.74 : x
  2. Step 2: Convert to fraction form
    146,206.66/201,753.93 = 82,550.74/x
  3. Step 3: Cross multiply
    146,206.66x = 201,753.93 × 82,550.74
  4. Step 4: Simplify right side
    146,206.66x = 16,654,936,219.41
  5. Step 5: Solve for x
    x = 16,654,936,219.41/146,206.66
  6. Step 6: Final answer
    x = 113,913.66

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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.