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Finding the Fourth Proportional to 166,077.96, 248,963.64 and 66,214

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Solution

The fourth proportional to 166,077.96, 248,963.64 and 66,214 is: 99,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,077.96 : 248,963.64 = 66,214 : x
  2. Step 2: Convert to fraction form
    166,077.96/248,963.64 = 66,214/x
  3. Step 3: Cross multiply
    166,077.96x = 248,963.64 × 66,214
  4. Step 4: Simplify right side
    166,077.96x = 16,484,878,458.96
  5. Step 5: Solve for x
    x = 16,484,878,458.96/166,077.96
  6. Step 6: Final answer
    x = 99,259.88

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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.