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Finding the Fourth Proportional to 166,705, 250,057.50 and 49,969

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Solution

The fourth proportional to 166,705, 250,057.50 and 49,969 is: 74,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,705 : 250,057.50 = 49,969 : x
  2. Step 2: Convert to fraction form
    166,705/250,057.50 = 49,969/x
  3. Step 3: Cross multiply
    166,705x = 250,057.50 × 49,969
  4. Step 4: Simplify right side
    166,705x = 12,495,123,217.50
  5. Step 5: Solve for x
    x = 12,495,123,217.50/166,705
  6. Step 6: Final answer
    x = 74,953.50

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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.