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Finding the Fourth Proportional to 204,166.64, 306,137.64 and 76,018.16

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Solution

The fourth proportional to 204,166.64, 306,137.64 and 76,018.16 is: 113,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,166.64 : 306,137.64 = 76,018.16 : x
  2. Step 2: Convert to fraction form
    204,166.64/306,137.64 = 76,018.16/x
  3. Step 3: Cross multiply
    204,166.64x = 306,137.64 × 76,018.16
  4. Step 4: Simplify right side
    204,166.64x = 23,272,020,099.54
  5. Step 5: Solve for x
    x = 23,272,020,099.54/204,166.64
  6. Step 6: Final answer
    x = 113,985.42

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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.