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Finding the Fourth Proportional to 201,945.42, 302,907.15 and 61,704.05

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Solution

The fourth proportional to 201,945.42, 302,907.15 and 61,704.05 is: 92,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,945.42 : 302,907.15 = 61,704.05 : x
  2. Step 2: Convert to fraction form
    201,945.42/302,907.15 = 61,704.05/x
  3. Step 3: Cross multiply
    201,945.42x = 302,907.15 × 61,704.05
  4. Step 4: Simplify right side
    201,945.42x = 18,690,596,414.42
  5. Step 5: Solve for x
    x = 18,690,596,414.42/201,945.42
  6. Step 6: Final answer
    x = 92,552.71

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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.