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Finding the Fourth Proportional to 200,529.91, 276,704.91 and 119,928.01

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Solution

The fourth proportional to 200,529.91, 276,704.91 and 119,928.01 is: 165,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,529.91 : 276,704.91 = 119,928.01 : x
  2. Step 2: Convert to fraction form
    200,529.91/276,704.91 = 119,928.01/x
  3. Step 3: Cross multiply
    200,529.91x = 276,704.91 × 119,928.01
  4. Step 4: Simplify right side
    200,529.91x = 33,184,669,213.53
  5. Step 5: Solve for x
    x = 33,184,669,213.53/200,529.91
  6. Step 6: Final answer
    x = 165,484.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.