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Finding the Fourth Proportional to 146,010.29, 201,491.42 and 82,348.07

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Solution

The fourth proportional to 146,010.29, 201,491.42 and 82,348.07 is: 113,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,010.29 : 201,491.42 = 82,348.07 : x
  2. Step 2: Convert to fraction form
    146,010.29/201,491.42 = 82,348.07/x
  3. Step 3: Cross multiply
    146,010.29x = 201,491.42 × 82,348.07
  4. Step 4: Simplify right side
    146,010.29x = 16,592,428,139.36
  5. Step 5: Solve for x
    x = 16,592,428,139.36/146,010.29
  6. Step 6: Final answer
    x = 113,638.76

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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.