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Finding the Fourth Proportional to 201,091.79, 301,178.30 and 95,984.57

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Solution

The fourth proportional to 201,091.79, 301,178.30 and 95,984.57 is: 143,757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,091.79 : 301,178.30 = 95,984.57 : x
  2. Step 2: Convert to fraction form
    201,091.79/301,178.30 = 95,984.57/x
  3. Step 3: Cross multiply
    201,091.79x = 301,178.30 × 95,984.57
  4. Step 4: Simplify right side
    201,091.79x = 28,908,467,633.02
  5. Step 5: Solve for x
    x = 28,908,467,633.02/201,091.79
  6. Step 6: Final answer
    x = 143,757.58

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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.