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Finding the Fourth Proportional to 166,005, 249,009.66 and 55,197

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Solution

The fourth proportional to 166,005, 249,009.66 and 55,197 is: 82,796.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,005 : 249,009.66 = 55,197 : x
  2. Step 2: Convert to fraction form
    166,005/249,009.66 = 55,197/x
  3. Step 3: Cross multiply
    166,005x = 249,009.66 × 55,197
  4. Step 4: Simplify right side
    166,005x = 13,744,586,203.02
  5. Step 5: Solve for x
    x = 13,744,586,203.02/166,005
  6. Step 6: Final answer
    x = 82,796.22

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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.