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Finding the Fourth Proportional to 203,673.27, 305,470.35 and 102,444.33

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Solution

The fourth proportional to 203,673.27, 305,470.35 and 102,444.33 is: 153,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,673.27 : 305,470.35 = 102,444.33 : x
  2. Step 2: Convert to fraction form
    203,673.27/305,470.35 = 102,444.33/x
  3. Step 3: Cross multiply
    203,673.27x = 305,470.35 × 102,444.33
  4. Step 4: Simplify right side
    203,673.27x = 31,293,705,340.62
  5. Step 5: Solve for x
    x = 31,293,705,340.62/203,673.27
  6. Step 6: Final answer
    x = 153,646.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.