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Finding the Fourth Proportional to 189,833.63, 284,766.84 and 49,592.25

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Solution

The fourth proportional to 189,833.63, 284,766.84 and 49,592.25 is: 74,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,833.63 : 284,766.84 = 49,592.25 : x
  2. Step 2: Convert to fraction form
    189,833.63/284,766.84 = 49,592.25/x
  3. Step 3: Cross multiply
    189,833.63x = 284,766.84 × 49,592.25
  4. Step 4: Simplify right side
    189,833.63x = 14,122,228,320.99
  5. Step 5: Solve for x
    x = 14,122,228,320.99/189,833.63
  6. Step 6: Final answer
    x = 74,392.66

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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.