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Finding the Fourth Proportional to 140,617.84, 194,052.08 and 76,086.88

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Solution

The fourth proportional to 140,617.84, 194,052.08 and 76,086.88 is: 104,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,617.84 : 194,052.08 = 76,086.88 : x
  2. Step 2: Convert to fraction form
    140,617.84/194,052.08 = 76,086.88/x
  3. Step 3: Cross multiply
    140,617.84x = 194,052.08 × 76,086.88
  4. Step 4: Simplify right side
    140,617.84x = 14,764,817,324.71
  5. Step 5: Solve for x
    x = 14,764,817,324.71/140,617.84
  6. Step 6: Final answer
    x = 104,999.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.