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Finding the Fourth Proportional to 189,833.88, 284,767.22 and 49,592.50

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Solution

The fourth proportional to 189,833.88, 284,767.22 and 49,592.50 is: 74,393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,833.88 : 284,767.22 = 49,592.50 : x
  2. Step 2: Convert to fraction form
    189,833.88/284,767.22 = 49,592.50/x
  3. Step 3: Cross multiply
    189,833.88x = 284,767.22 × 49,592.50
  4. Step 4: Simplify right side
    189,833.88x = 14,122,318,109.89
  5. Step 5: Solve for x
    x = 14,122,318,109.89/189,833.88
  6. Step 6: Final answer
    x = 74,393.04

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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.