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Finding the Fourth Proportional to 202,204.60, 303,379.80 and 194,914.60

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Solution

The fourth proportional to 202,204.60, 303,379.80 and 194,914.60 is: 292,442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,204.60 : 303,379.80 = 194,914.60 : x
  2. Step 2: Convert to fraction form
    202,204.60/303,379.80 = 194,914.60/x
  3. Step 3: Cross multiply
    202,204.60x = 303,379.80 × 194,914.60
  4. Step 4: Simplify right side
    202,204.60x = 59,133,152,365.08
  5. Step 5: Solve for x
    x = 59,133,152,365.08/202,204.60
  6. Step 6: Final answer
    x = 292,442.17

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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.