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Finding the Fourth Proportional to 285,533.10, 428,321.52 and 75,168

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Solution

The fourth proportional to 285,533.10, 428,321.52 and 75,168 is: 112,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,533.10 : 428,321.52 = 75,168 : x
  2. Step 2: Convert to fraction form
    285,533.10/428,321.52 = 75,168/x
  3. Step 3: Cross multiply
    285,533.10x = 428,321.52 × 75,168
  4. Step 4: Simplify right side
    285,533.10x = 32,196,072,015.36
  5. Step 5: Solve for x
    x = 32,196,072,015.36/285,533.10
  6. Step 6: Final answer
    x = 112,757.76

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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.