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Finding the Fourth Proportional to 189,793.17, 284,684.19 and 49,551.78

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Solution

The fourth proportional to 189,793.17, 284,684.19 and 49,551.78 is: 74,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,793.17 : 284,684.19 = 49,551.78 : x
  2. Step 2: Convert to fraction form
    189,793.17/284,684.19 = 49,551.78/x
  3. Step 3: Cross multiply
    189,793.17x = 284,684.19 × 49,551.78
  4. Step 4: Simplify right side
    189,793.17x = 14,106,608,352.36
  5. Step 5: Solve for x
    x = 14,106,608,352.36/189,793.17
  6. Step 6: Final answer
    x = 74,326.22

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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.