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Finding the Fourth Proportional to 202,433.76, 303,486.54 and 84,193.62

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Solution

The fourth proportional to 202,433.76, 303,486.54 and 84,193.62 is: 126,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,433.76 : 303,486.54 = 84,193.62 : x
  2. Step 2: Convert to fraction form
    202,433.76/303,486.54 = 84,193.62/x
  3. Step 3: Cross multiply
    202,433.76x = 303,486.54 × 84,193.62
  4. Step 4: Simplify right side
    202,433.76x = 25,551,630,423.87
  5. Step 5: Solve for x
    x = 25,551,630,423.87/202,433.76
  6. Step 6: Final answer
    x = 126,222.18

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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.