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Finding the Fourth Proportional to 204,902.10, 282,763.68 and 114,259.14

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Solution

The fourth proportional to 204,902.10, 282,763.68 and 114,259.14 is: 157,676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,902.10 : 282,763.68 = 114,259.14 : x
  2. Step 2: Convert to fraction form
    204,902.10/282,763.68 = 114,259.14/x
  3. Step 3: Cross multiply
    204,902.10x = 282,763.68 × 114,259.14
  4. Step 4: Simplify right side
    204,902.10x = 32,308,334,900.04
  5. Step 5: Solve for x
    x = 32,308,334,900.04/204,902.10
  6. Step 6: Final answer
    x = 157,676.93

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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.