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Finding the Fourth Proportional to 189,794.67, 284,686.44 and 49,553.28

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Solution

The fourth proportional to 189,794.67, 284,686.44 and 49,553.28 is: 74,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,794.67 : 284,686.44 = 49,553.28 : x
  2. Step 2: Convert to fraction form
    189,794.67/284,686.44 = 49,553.28/x
  3. Step 3: Cross multiply
    189,794.67x = 284,686.44 × 49,553.28
  4. Step 4: Simplify right side
    189,794.67x = 14,107,146,873.52
  5. Step 5: Solve for x
    x = 14,107,146,873.52/189,794.67
  6. Step 6: Final answer
    x = 74,328.47

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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.