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Finding the Fourth Proportional to 189,797.92, 284,600.16 and 63,392.64

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Solution

The fourth proportional to 189,797.92, 284,600.16 and 63,392.64 is: 95,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,797.92 : 284,600.16 = 63,392.64 : x
  2. Step 2: Convert to fraction form
    189,797.92/284,600.16 = 63,392.64/x
  3. Step 3: Cross multiply
    189,797.92x = 284,600.16 × 63,392.64
  4. Step 4: Simplify right side
    189,797.92x = 18,041,555,486.82
  5. Step 5: Solve for x
    x = 18,041,555,486.82/189,797.92
  6. Step 6: Final answer
    x = 95,056.66

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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.