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Finding the Fourth Proportional to 204,708.19, 282,493.54 and 114,062.20

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Solution

The fourth proportional to 204,708.19, 282,493.54 and 114,062.20 is: 157,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,708.19 : 282,493.54 = 114,062.20 : x
  2. Step 2: Convert to fraction form
    204,708.19/282,493.54 = 114,062.20/x
  3. Step 3: Cross multiply
    204,708.19x = 282,493.54 × 114,062.20
  4. Step 4: Simplify right side
    204,708.19x = 32,221,834,407.85
  5. Step 5: Solve for x
    x = 32,221,834,407.85/204,708.19
  6. Step 6: Final answer
    x = 157,403.74

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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.