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Finding the Fourth Proportional to 166,711, 250,066.50 and 49,975

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Solution

The fourth proportional to 166,711, 250,066.50 and 49,975 is: 74,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,711 : 250,066.50 = 49,975 : x
  2. Step 2: Convert to fraction form
    166,711/250,066.50 = 49,975/x
  3. Step 3: Cross multiply
    166,711x = 250,066.50 × 49,975
  4. Step 4: Simplify right side
    166,711x = 12,497,073,337.50
  5. Step 5: Solve for x
    x = 12,497,073,337.50/166,711
  6. Step 6: Final answer
    x = 74,962.50

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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.