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Finding the Fourth Proportional to 201,037.74, 301,558.95 and 51,277.74

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Solution

The fourth proportional to 201,037.74, 301,558.95 and 51,277.74 is: 76,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,037.74 : 301,558.95 = 51,277.74 : x
  2. Step 2: Convert to fraction form
    201,037.74/301,558.95 = 51,277.74/x
  3. Step 3: Cross multiply
    201,037.74x = 301,558.95 × 51,277.74
  4. Step 4: Simplify right side
    201,037.74x = 15,463,261,432.77
  5. Step 5: Solve for x
    x = 15,463,261,432.77/201,037.74
  6. Step 6: Final answer
    x = 76,917.21

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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.