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Finding the Fourth Proportional to 201,367.02, 302,048.10 and 51,606.12

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Solution

The fourth proportional to 201,367.02, 302,048.10 and 51,606.12 is: 77,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,367.02 : 302,048.10 = 51,606.12 : x
  2. Step 2: Convert to fraction form
    201,367.02/302,048.10 = 51,606.12/x
  3. Step 3: Cross multiply
    201,367.02x = 302,048.10 × 51,606.12
  4. Step 4: Simplify right side
    201,367.02x = 15,587,530,494.37
  5. Step 5: Solve for x
    x = 15,587,530,494.37/201,367.02
  6. Step 6: Final answer
    x = 77,408.56

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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.