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Finding the Fourth Proportional to 102,204.01, 140,961.52 and 66,405.66

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Solution

The fourth proportional to 102,204.01, 140,961.52 and 66,405.66 is: 91,587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,204.01 : 140,961.52 = 66,405.66 : x
  2. Step 2: Convert to fraction form
    102,204.01/140,961.52 = 66,405.66/x
  3. Step 3: Cross multiply
    102,204.01x = 140,961.52 × 66,405.66
  4. Step 4: Simplify right side
    102,204.01x = 9,360,641,951.07
  5. Step 5: Solve for x
    x = 9,360,641,951.07/102,204.01
  6. Step 6: Final answer
    x = 91,587.81

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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.