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Finding the Fourth Proportional to 189,496.90, 284,223.30 and 49,266.46

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Solution

The fourth proportional to 189,496.90, 284,223.30 and 49,266.46 is: 73,893.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,496.90 : 284,223.30 = 49,266.46 : x
  2. Step 2: Convert to fraction form
    189,496.90/284,223.30 = 49,266.46/x
  3. Step 3: Cross multiply
    189,496.90x = 284,223.30 × 49,266.46
  4. Step 4: Simplify right side
    189,496.90x = 14,002,675,840.52
  5. Step 5: Solve for x
    x = 14,002,675,840.52/189,496.90
  6. Step 6: Final answer
    x = 73,893.96

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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.