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Finding the Fourth Proportional to 204,781.48, 282,564.18 and 114,117.56

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Solution

The fourth proportional to 204,781.48, 282,564.18 and 114,117.56 is: 157,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,781.48 : 282,564.18 = 114,117.56 : x
  2. Step 2: Convert to fraction form
    204,781.48/282,564.18 = 114,117.56/x
  3. Step 3: Cross multiply
    204,781.48x = 282,564.18 × 114,117.56
  4. Step 4: Simplify right side
    204,781.48x = 32,245,534,765.00
  5. Step 5: Solve for x
    x = 32,245,534,765.00/204,781.48
  6. Step 6: Final answer
    x = 157,463.14

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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.