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Finding the Fourth Proportional to 202,269.60, 303,112.80 and 89,857.80

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Solution

The fourth proportional to 202,269.60, 303,112.80 and 89,857.80 is: 134,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,269.60 : 303,112.80 = 89,857.80 : x
  2. Step 2: Convert to fraction form
    202,269.60/303,112.80 = 89,857.80/x
  3. Step 3: Cross multiply
    202,269.60x = 303,112.80 × 89,857.80
  4. Step 4: Simplify right side
    202,269.60x = 27,237,049,359.84
  5. Step 5: Solve for x
    x = 27,237,049,359.84/202,269.60
  6. Step 6: Final answer
    x = 134,657.16

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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.