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Finding the Fourth Proportional to 189,954.98, 284,933.00 and 77,635.22

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Solution

The fourth proportional to 189,954.98, 284,933.00 and 77,635.22 is: 116,453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,954.98 : 284,933.00 = 77,635.22 : x
  2. Step 2: Convert to fraction form
    189,954.98/284,933.00 = 77,635.22/x
  3. Step 3: Cross multiply
    189,954.98x = 284,933.00 × 77,635.22
  4. Step 4: Simplify right side
    189,954.98x = 22,120,834,909.68
  5. Step 5: Solve for x
    x = 22,120,834,909.68/189,954.98
  6. Step 6: Final answer
    x = 116,453.04

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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.