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Finding the Fourth Proportional to 146,324.22, 201,943.80 and 82,666.11

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Solution

The fourth proportional to 146,324.22, 201,943.80 and 82,666.11 is: 114,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,324.22 : 201,943.80 = 82,666.11 : x
  2. Step 2: Convert to fraction form
    146,324.22/201,943.80 = 82,666.11/x
  3. Step 3: Cross multiply
    146,324.22x = 201,943.80 × 82,666.11
  4. Step 4: Simplify right side
    146,324.22x = 16,693,908,384.62
  5. Step 5: Solve for x
    x = 16,693,908,384.62/146,324.22
  6. Step 6: Final answer
    x = 114,088.48

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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.