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Finding the Fourth Proportional to 189,891, 284,898.84 and 77,665.56

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Solution

The fourth proportional to 189,891, 284,898.84 and 77,665.56 is: 116,523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,891 : 284,898.84 = 77,665.56 : x
  2. Step 2: Convert to fraction form
    189,891/284,898.84 = 77,665.56/x
  3. Step 3: Cross multiply
    189,891x = 284,898.84 × 77,665.56
  4. Step 4: Simplify right side
    189,891x = 22,126,827,951.95
  5. Step 5: Solve for x
    x = 22,126,827,951.95/189,891
  6. Step 6: Final answer
    x = 116,523.84

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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.