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Finding the Fourth Proportional to 140,209.92, 193,494 and 76,551.84

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Solution

The fourth proportional to 140,209.92, 193,494 and 76,551.84 is: 105,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,209.92 : 193,494 = 76,551.84 : x
  2. Step 2: Convert to fraction form
    140,209.92/193,494 = 76,551.84/x
  3. Step 3: Cross multiply
    140,209.92x = 193,494 × 76,551.84
  4. Step 4: Simplify right side
    140,209.92x = 14,812,321,728.96
  5. Step 5: Solve for x
    x = 14,812,321,728.96/140,209.92
  6. Step 6: Final answer
    x = 105,643.89

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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.