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Finding the Fourth Proportional to 140,446.17, 193,817.61 and 76,783.82

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Solution

The fourth proportional to 140,446.17, 193,817.61 and 76,783.82 is: 105,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,446.17 : 193,817.61 = 76,783.82 : x
  2. Step 2: Convert to fraction form
    140,446.17/193,817.61 = 76,783.82/x
  3. Step 3: Cross multiply
    140,446.17x = 193,817.61 × 76,783.82
  4. Step 4: Simplify right side
    140,446.17x = 14,882,055,509.98
  5. Step 5: Solve for x
    x = 14,882,055,509.98/140,446.17
  6. Step 6: Final answer
    x = 105,962.70

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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.