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Finding the Fourth Proportional to 202,182.60, 303,346.80 and 194,892.60

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Solution

The fourth proportional to 202,182.60, 303,346.80 and 194,892.60 is: 292,409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,182.60 : 303,346.80 = 194,892.60 : x
  2. Step 2: Convert to fraction form
    202,182.60/303,346.80 = 194,892.60/x
  3. Step 3: Cross multiply
    202,182.60x = 303,346.80 × 194,892.60
  4. Step 4: Simplify right side
    202,182.60x = 59,120,046,553.68
  5. Step 5: Solve for x
    x = 59,120,046,553.68/202,182.60
  6. Step 6: Final answer
    x = 292,409.17

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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.