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Finding the Fourth Proportional to 204,409.50, 306,615.06 and 56,665.50

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Solution

The fourth proportional to 204,409.50, 306,615.06 and 56,665.50 is: 84,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,409.50 : 306,615.06 = 56,665.50 : x
  2. Step 2: Convert to fraction form
    204,409.50/306,615.06 = 56,665.50/x
  3. Step 3: Cross multiply
    204,409.50x = 306,615.06 × 56,665.50
  4. Step 4: Simplify right side
    204,409.50x = 17,374,495,682.43
  5. Step 5: Solve for x
    x = 17,374,495,682.43/204,409.50
  6. Step 6: Final answer
    x = 84,998.47

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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.