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Finding the Fourth Proportional to 201,082.77, 301,624.02 and 51,323.09

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Solution

The fourth proportional to 201,082.77, 301,624.02 and 51,323.09 is: 76,984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,082.77 : 301,624.02 = 51,323.09 : x
  2. Step 2: Convert to fraction form
    201,082.77/301,624.02 = 51,323.09/x
  3. Step 3: Cross multiply
    201,082.77x = 301,624.02 × 51,323.09
  4. Step 4: Simplify right side
    201,082.77x = 15,480,275,216.50
  5. Step 5: Solve for x
    x = 15,480,275,216.50/201,082.77
  6. Step 6: Final answer
    x = 76,984.59

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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.