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Finding the Fourth Proportional to 166,644.31, 249,965.24 and 66,803.03

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Solution

The fourth proportional to 166,644.31, 249,965.24 and 66,803.03 is: 100,204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,644.31 : 249,965.24 = 66,803.03 : x
  2. Step 2: Convert to fraction form
    166,644.31/249,965.24 = 66,803.03/x
  3. Step 3: Cross multiply
    166,644.31x = 249,965.24 × 66,803.03
  4. Step 4: Simplify right side
    166,644.31x = 16,698,435,426.68
  5. Step 5: Solve for x
    x = 16,698,435,426.68/166,644.31
  6. Step 6: Final answer
    x = 100,204.06

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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.