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Finding the Fourth Proportional to 200,764.37, 301,152.63 and 51,004.69

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Solution

The fourth proportional to 200,764.37, 301,152.63 and 51,004.69 is: 76,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,764.37 : 301,152.63 = 51,004.69 : x
  2. Step 2: Convert to fraction form
    200,764.37/301,152.63 = 51,004.69/x
  3. Step 3: Cross multiply
    200,764.37x = 301,152.63 × 51,004.69
  4. Step 4: Simplify right side
    200,764.37x = 15,360,195,974.22
  5. Step 5: Solve for x
    x = 15,360,195,974.22/200,764.37
  6. Step 6: Final answer
    x = 76,508.57

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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.