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Finding the Fourth Proportional to 204,585.60, 306,014.40 and 183,676.80

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Solution

The fourth proportional to 204,585.60, 306,014.40 and 183,676.80 is: 274,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,585.60 : 306,014.40 = 183,676.80 : x
  2. Step 2: Convert to fraction form
    204,585.60/306,014.40 = 183,676.80/x
  3. Step 3: Cross multiply
    204,585.60x = 306,014.40 × 183,676.80
  4. Step 4: Simplify right side
    204,585.60x = 56,207,745,745.92
  5. Step 5: Solve for x
    x = 56,207,745,745.92/204,585.60
  6. Step 6: Final answer
    x = 274,739.50

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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.