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Finding the Fourth Proportional to 140,199.39, 193,472.15 and 76,538.25

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Solution

The fourth proportional to 140,199.39, 193,472.15 and 76,538.25 is: 105,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,199.39 : 193,472.15 = 76,538.25 : x
  2. Step 2: Convert to fraction form
    140,199.39/193,472.15 = 76,538.25/x
  3. Step 3: Cross multiply
    140,199.39x = 193,472.15 × 76,538.25
  4. Step 4: Simplify right side
    140,199.39x = 14,808,019,402.05
  5. Step 5: Solve for x
    x = 14,808,019,402.05/140,199.39
  6. Step 6: Final answer
    x = 105,621.14

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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.