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Finding the Fourth Proportional to 202,333.80, 303,731.10 and 119,274.60

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Solution

The fourth proportional to 202,333.80, 303,731.10 and 119,274.60 is: 179,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,333.80 : 303,731.10 = 119,274.60 : x
  2. Step 2: Convert to fraction form
    202,333.80/303,731.10 = 119,274.60/x
  3. Step 3: Cross multiply
    202,333.80x = 303,731.10 × 119,274.60
  4. Step 4: Simplify right side
    202,333.80x = 36,227,405,460.06
  5. Step 5: Solve for x
    x = 36,227,405,460.06/202,333.80
  6. Step 6: Final answer
    x = 179,047.72

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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.