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Finding the Fourth Proportional to 189,967.80, 284,951.70 and 188,655.60

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Solution

The fourth proportional to 189,967.80, 284,951.70 and 188,655.60 is: 282,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,967.80 : 284,951.70 = 188,655.60 : x
  2. Step 2: Convert to fraction form
    189,967.80/284,951.70 = 188,655.60/x
  3. Step 3: Cross multiply
    189,967.80x = 284,951.70 × 188,655.60
  4. Step 4: Simplify right side
    189,967.80x = 53,757,733,934.52
  5. Step 5: Solve for x
    x = 53,757,733,934.52/189,967.80
  6. Step 6: Final answer
    x = 282,983.40

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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.