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Finding the Fourth Proportional to 175,311.36, 263,036.16 and 64,512

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Solution

The fourth proportional to 175,311.36, 263,036.16 and 64,512 is: 96,793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,311.36 : 263,036.16 = 64,512 : x
  2. Step 2: Convert to fraction form
    175,311.36/263,036.16 = 64,512/x
  3. Step 3: Cross multiply
    175,311.36x = 263,036.16 × 64,512
  4. Step 4: Simplify right side
    175,311.36x = 16,968,988,753.92
  5. Step 5: Solve for x
    x = 16,968,988,753.92/175,311.36
  6. Step 6: Final answer
    x = 96,793.44

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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.