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Finding the Fourth Proportional to 166,704, 250,056 and 49,968

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Solution

The fourth proportional to 166,704, 250,056 and 49,968 is: 74,952

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,704 : 250,056 = 49,968 : x
  2. Step 2: Convert to fraction form
    166,704/250,056 = 49,968/x
  3. Step 3: Cross multiply
    166,704x = 250,056 × 49,968
  4. Step 4: Simplify right side
    166,704x = 12,494,798,208
  5. Step 5: Solve for x
    x = 12,494,798,208/166,704
  6. Step 6: Final answer
    x = 74,952

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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.