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Finding the Fourth Proportional to 201,151.70, 301,897.65 and 82,907.90

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Solution

The fourth proportional to 201,151.70, 301,897.65 and 82,907.90 is: 124,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,151.70 : 301,897.65 = 82,907.90 : x
  2. Step 2: Convert to fraction form
    201,151.70/301,897.65 = 82,907.90/x
  3. Step 3: Cross multiply
    201,151.70x = 301,897.65 × 82,907.90
  4. Step 4: Simplify right side
    201,151.70x = 25,029,700,176.44
  5. Step 5: Solve for x
    x = 25,029,700,176.44/201,151.70
  6. Step 6: Final answer
    x = 124,431.96

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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.