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Finding the Fourth Proportional to 189,606.84, 284,493.30 and 89,838.24

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Solution

The fourth proportional to 189,606.84, 284,493.30 and 89,838.24 is: 134,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,606.84 : 284,493.30 = 89,838.24 : x
  2. Step 2: Convert to fraction form
    189,606.84/284,493.30 = 89,838.24/x
  3. Step 3: Cross multiply
    189,606.84x = 284,493.30 × 89,838.24
  4. Step 4: Simplify right side
    189,606.84x = 25,558,377,363.79
  5. Step 5: Solve for x
    x = 25,558,377,363.79/189,606.84
  6. Step 6: Final answer
    x = 134,796.71

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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.