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Finding the Fourth Proportional to 189,983.80, 284,975.70 and 188,671.60

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Solution

The fourth proportional to 189,983.80, 284,975.70 and 188,671.60 is: 283,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,983.80 : 284,975.70 = 188,671.60 : x
  2. Step 2: Convert to fraction form
    189,983.80/284,975.70 = 188,671.60/x
  3. Step 3: Cross multiply
    189,983.80x = 284,975.70 × 188,671.60
  4. Step 4: Simplify right side
    189,983.80x = 53,766,821,280.12
  5. Step 5: Solve for x
    x = 53,766,821,280.12/189,983.80
  6. Step 6: Final answer
    x = 283,007.40

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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.