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Finding the Fourth Proportional to 140,705.28, 194,168.80 and 77,039.28

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Solution

The fourth proportional to 140,705.28, 194,168.80 and 77,039.28 is: 106,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,705.28 : 194,168.80 = 77,039.28 : x
  2. Step 2: Convert to fraction form
    140,705.28/194,168.80 = 77,039.28/x
  3. Step 3: Cross multiply
    140,705.28x = 194,168.80 × 77,039.28
  4. Step 4: Simplify right side
    140,705.28x = 14,958,624,550.46
  5. Step 5: Solve for x
    x = 14,958,624,550.46/140,705.28
  6. Step 6: Final answer
    x = 106,311.75

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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.