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Finding the Fourth Proportional to 204,577.02, 306,866.34 and 71,456.76

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Solution

The fourth proportional to 204,577.02, 306,866.34 and 71,456.76 is: 107,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,577.02 : 306,866.34 = 71,456.76 : x
  2. Step 2: Convert to fraction form
    204,577.02/306,866.34 = 71,456.76/x
  3. Step 3: Cross multiply
    204,577.02x = 306,866.34 × 71,456.76
  4. Step 4: Simplify right side
    204,577.02x = 21,927,674,409.46
  5. Step 5: Solve for x
    x = 21,927,674,409.46/204,577.02
  6. Step 6: Final answer
    x = 107,185.42

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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.