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Finding the Fourth Proportional to 204,744.10, 282,543.01 and 114,098.07

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Solution

The fourth proportional to 204,744.10, 282,543.01 and 114,098.07 is: 157,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,744.10 : 282,543.01 = 114,098.07 : x
  2. Step 2: Convert to fraction form
    204,744.10/282,543.01 = 114,098.07/x
  3. Step 3: Cross multiply
    204,744.10x = 282,543.01 × 114,098.07
  4. Step 4: Simplify right side
    204,744.10x = 32,237,612,132.99
  5. Step 5: Solve for x
    x = 32,237,612,132.99/204,744.10
  6. Step 6: Final answer
    x = 157,453.19

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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.