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Finding the Fourth Proportional to 140,196.57, 193,474.58 and 76,534.80

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Solution

The fourth proportional to 140,196.57, 193,474.58 and 76,534.80 is: 105,619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,196.57 : 193,474.58 = 76,534.80 : x
  2. Step 2: Convert to fraction form
    140,196.57/193,474.58 = 76,534.80/x
  3. Step 3: Cross multiply
    140,196.57x = 193,474.58 × 76,534.80
  4. Step 4: Simplify right side
    140,196.57x = 14,807,537,902.71
  5. Step 5: Solve for x
    x = 14,807,537,902.71/140,196.57
  6. Step 6: Final answer
    x = 105,619.83

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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.