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Finding the Fourth Proportional to 201,073.64, 301,610.26 and 51,313.94

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Solution

The fourth proportional to 201,073.64, 301,610.26 and 51,313.94 is: 76,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,073.64 : 301,610.26 = 51,313.94 : x
  2. Step 2: Convert to fraction form
    201,073.64/301,610.26 = 51,313.94/x
  3. Step 3: Cross multiply
    201,073.64x = 301,610.26 × 51,313.94
  4. Step 4: Simplify right side
    201,073.64x = 15,476,810,785.02
  5. Step 5: Solve for x
    x = 15,476,810,785.02/201,073.64
  6. Step 6: Final answer
    x = 76,970.86

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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.