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Finding the Fourth Proportional to 201,676.70, 301,858.95 and 157,061.90

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Solution

The fourth proportional to 201,676.70, 301,858.95 and 157,061.90 is: 235,081.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,676.70 : 301,858.95 = 157,061.90 : x
  2. Step 2: Convert to fraction form
    201,676.70/301,858.95 = 157,061.90/x
  3. Step 3: Cross multiply
    201,676.70x = 301,858.95 × 157,061.90
  4. Step 4: Simplify right side
    201,676.70x = 47,410,540,219.01
  5. Step 5: Solve for x
    x = 47,410,540,219.01/201,676.70
  6. Step 6: Final answer
    x = 235,081.89

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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.