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Finding the Fourth Proportional to 204,792.83, 282,615.39 and 114,154.53

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Solution

The fourth proportional to 204,792.83, 282,615.39 and 114,154.53 is: 157,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,792.83 : 282,615.39 = 114,154.53 : x
  2. Step 2: Convert to fraction form
    204,792.83/282,615.39 = 114,154.53/x
  3. Step 3: Cross multiply
    204,792.83x = 282,615.39 × 114,154.53
  4. Step 4: Simplify right side
    204,792.83x = 32,261,827,016.22
  5. Step 5: Solve for x
    x = 32,261,827,016.22/204,792.83
  6. Step 6: Final answer
    x = 157,533.97

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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.