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Finding the Fourth Proportional to 204,085.20, 306,127.80 and 181,534.80

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Solution

The fourth proportional to 204,085.20, 306,127.80 and 181,534.80 is: 272,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,085.20 : 306,127.80 = 181,534.80 : x
  2. Step 2: Convert to fraction form
    204,085.20/306,127.80 = 181,534.80/x
  3. Step 3: Cross multiply
    204,085.20x = 306,127.80 × 181,534.80
  4. Step 4: Simplify right side
    204,085.20x = 55,572,848,947.44
  5. Step 5: Solve for x
    x = 55,572,848,947.44/204,085.20
  6. Step 6: Final answer
    x = 272,302.20

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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.