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Finding the Fourth Proportional to 189,898.21, 284,847.32 and 49,655.62

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Solution

The fourth proportional to 189,898.21, 284,847.32 and 49,655.62 is: 74,483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,898.21 : 284,847.32 = 49,655.62 : x
  2. Step 2: Convert to fraction form
    189,898.21/284,847.32 = 49,655.62/x
  3. Step 3: Cross multiply
    189,898.21x = 284,847.32 × 49,655.62
  4. Step 4: Simplify right side
    189,898.21x = 14,144,270,279.94
  5. Step 5: Solve for x
    x = 14,144,270,279.94/189,898.21
  6. Step 6: Final answer
    x = 74,483.43

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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.