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Finding the Fourth Proportional to 202,287.90, 303,464.70 and 75,938.07

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Solution

The fourth proportional to 202,287.90, 303,464.70 and 75,938.07 is: 113,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,287.90 : 303,464.70 = 75,938.07 : x
  2. Step 2: Convert to fraction form
    202,287.90/303,464.70 = 75,938.07/x
  3. Step 3: Cross multiply
    202,287.90x = 303,464.70 × 75,938.07
  4. Step 4: Simplify right side
    202,287.90x = 23,044,523,631.13
  5. Step 5: Solve for x
    x = 23,044,523,631.13/202,287.90
  6. Step 6: Final answer
    x = 113,919.44

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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.