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Finding the Fourth Proportional to 204,785.50, 282,594.90 and 114,151.36

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Solution

The fourth proportional to 204,785.50, 282,594.90 and 114,151.36 is: 157,523.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,785.50 : 282,594.90 = 114,151.36 : x
  2. Step 2: Convert to fraction form
    204,785.50/282,594.90 = 114,151.36/x
  3. Step 3: Cross multiply
    204,785.50x = 282,594.90 × 114,151.36
  4. Step 4: Simplify right side
    204,785.50x = 32,258,592,164.06
  5. Step 5: Solve for x
    x = 32,258,592,164.06/204,785.50
  6. Step 6: Final answer
    x = 157,523.81

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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.