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Finding the Fourth Proportional to 201,543.96, 301,983.76 and 117,067

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Solution

The fourth proportional to 201,543.96, 301,983.76 and 117,067 is: 175,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,543.96 : 301,983.76 = 117,067 : x
  2. Step 2: Convert to fraction form
    201,543.96/301,983.76 = 117,067/x
  3. Step 3: Cross multiply
    201,543.96x = 301,983.76 × 117,067
  4. Step 4: Simplify right side
    201,543.96x = 35,352,332,831.92
  5. Step 5: Solve for x
    x = 35,352,332,831.92/201,543.96
  6. Step 6: Final answer
    x = 175,407.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.