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Finding the Fourth Proportional to 189,767.79, 284,698.38 and 133,717.32

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Solution

The fourth proportional to 189,767.79, 284,698.38 and 133,717.32 is: 200,608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,767.79 : 284,698.38 = 133,717.32 : x
  2. Step 2: Convert to fraction form
    189,767.79/284,698.38 = 133,717.32/x
  3. Step 3: Cross multiply
    189,767.79x = 284,698.38 × 133,717.32
  4. Step 4: Simplify right side
    189,767.79x = 38,069,104,381.94
  5. Step 5: Solve for x
    x = 38,069,104,381.94/189,767.79
  6. Step 6: Final answer
    x = 200,608.88

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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.