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Finding the Fourth Proportional to 201,322.08, 301,761.70 and 82,928.84

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Solution

The fourth proportional to 201,322.08, 301,761.70 and 82,928.84 is: 124,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,322.08 : 301,761.70 = 82,928.84 : x
  2. Step 2: Convert to fraction form
    201,322.08/301,761.70 = 82,928.84/x
  3. Step 3: Cross multiply
    201,322.08x = 301,761.70 × 82,928.84
  4. Step 4: Simplify right side
    201,322.08x = 25,024,747,737.43
  5. Step 5: Solve for x
    x = 25,024,747,737.43/201,322.08
  6. Step 6: Final answer
    x = 124,302.05

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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.