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Finding the Fourth Proportional to 166,013.40, 248,945.22 and 47,657.88

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Solution

The fourth proportional to 166,013.40, 248,945.22 and 47,657.88 is: 71,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,013.40 : 248,945.22 = 47,657.88 : x
  2. Step 2: Convert to fraction form
    166,013.40/248,945.22 = 47,657.88/x
  3. Step 3: Cross multiply
    166,013.40x = 248,945.22 × 47,657.88
  4. Step 4: Simplify right side
    166,013.40x = 11,864,201,421.33
  5. Step 5: Solve for x
    x = 11,864,201,421.33/166,013.40
  6. Step 6: Final answer
    x = 71,465.32

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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.