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Finding the Fourth Proportional to 201,399.90, 301,907.85 and 75,006.30

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Solution

The fourth proportional to 201,399.90, 301,907.85 and 75,006.30 is: 112,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,399.90 : 301,907.85 = 75,006.30 : x
  2. Step 2: Convert to fraction form
    201,399.90/301,907.85 = 75,006.30/x
  3. Step 3: Cross multiply
    201,399.90x = 301,907.85 × 75,006.30
  4. Step 4: Simplify right side
    201,399.90x = 22,644,990,769.46
  5. Step 5: Solve for x
    x = 22,644,990,769.46/201,399.90
  6. Step 6: Final answer
    x = 112,437.94

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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.