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Finding the Fourth Proportional to 140,090.46, 210,062.69 and 50,098.50

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Solution

The fourth proportional to 140,090.46, 210,062.69 and 50,098.50 is: 75,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,090.46 : 210,062.69 = 50,098.50 : x
  2. Step 2: Convert to fraction form
    140,090.46/210,062.69 = 50,098.50/x
  3. Step 3: Cross multiply
    140,090.46x = 210,062.69 × 50,098.50
  4. Step 4: Simplify right side
    140,090.46x = 10,523,825,674.97
  5. Step 5: Solve for x
    x = 10,523,825,674.97/140,090.46
  6. Step 6: Final answer
    x = 75,121.64

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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.