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Finding the Fourth Proportional to 189,850.80, 284,819.40 and 110,924.40

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Solution

The fourth proportional to 189,850.80, 284,819.40 and 110,924.40 is: 166,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,850.80 : 284,819.40 = 110,924.40 : x
  2. Step 2: Convert to fraction form
    189,850.80/284,819.40 = 110,924.40/x
  3. Step 3: Cross multiply
    189,850.80x = 284,819.40 × 110,924.40
  4. Step 4: Simplify right side
    189,850.80x = 31,593,421,053.36
  5. Step 5: Solve for x
    x = 31,593,421,053.36/189,850.80
  6. Step 6: Final answer
    x = 166,411.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.