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Finding the Fourth Proportional to 201,704.70, 301,900.95 and 157,089.90

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Solution

The fourth proportional to 201,704.70, 301,900.95 and 157,089.90 is: 235,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,704.70 : 301,900.95 = 157,089.90 : x
  2. Step 2: Convert to fraction form
    201,704.70/301,900.95 = 157,089.90/x
  3. Step 3: Cross multiply
    201,704.70x = 301,900.95 × 157,089.90
  4. Step 4: Simplify right side
    201,704.70x = 47,425,590,045.41
  5. Step 5: Solve for x
    x = 47,425,590,045.41/201,704.70
  6. Step 6: Final answer
    x = 235,123.87

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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.