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Finding the Fourth Proportional to 140,098.56, 193,407.36 and 108,195.84

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Solution

The fourth proportional to 140,098.56, 193,407.36 and 108,195.84 is: 149,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,098.56 : 193,407.36 = 108,195.84 : x
  2. Step 2: Convert to fraction form
    140,098.56/193,407.36 = 108,195.84/x
  3. Step 3: Cross multiply
    140,098.56x = 193,407.36 × 108,195.84
  4. Step 4: Simplify right side
    140,098.56x = 20,925,871,777.38
  5. Step 5: Solve for x
    x = 20,925,871,777.38/140,098.56
  6. Step 6: Final answer
    x = 149,365.36

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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.