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Finding the Fourth Proportional to 140,200.56, 193,474.08 and 76,538.76

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Solution

The fourth proportional to 140,200.56, 193,474.08 and 76,538.76 is: 105,622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,200.56 : 193,474.08 = 76,538.76 : x
  2. Step 2: Convert to fraction form
    140,200.56/193,474.08 = 76,538.76/x
  3. Step 3: Cross multiply
    140,200.56x = 193,474.08 × 76,538.76
  4. Step 4: Simplify right side
    140,200.56x = 14,808,266,175.34
  5. Step 5: Solve for x
    x = 14,808,266,175.34/140,200.56
  6. Step 6: Final answer
    x = 105,622.02

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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.