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Finding the Fourth Proportional to 202,433.50, 303,442.88 and 84,173.50

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Solution

The fourth proportional to 202,433.50, 303,442.88 and 84,173.50 is: 126,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,433.50 : 303,442.88 = 84,173.50 : x
  2. Step 2: Convert to fraction form
    202,433.50/303,442.88 = 84,173.50/x
  3. Step 3: Cross multiply
    202,433.50x = 303,442.88 × 84,173.50
  4. Step 4: Simplify right side
    202,433.50x = 25,541,849,259.68
  5. Step 5: Solve for x
    x = 25,541,849,259.68/202,433.50
  6. Step 6: Final answer
    x = 126,174.02

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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.