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Finding the Fourth Proportional to 166,002, 249,005.16 and 55,194

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Solution

The fourth proportional to 166,002, 249,005.16 and 55,194 is: 82,791.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,002 : 249,005.16 = 55,194 : x
  2. Step 2: Convert to fraction form
    166,002/249,005.16 = 55,194/x
  3. Step 3: Cross multiply
    166,002x = 249,005.16 × 55,194
  4. Step 4: Simplify right side
    166,002x = 13,743,590,801.04
  5. Step 5: Solve for x
    x = 13,743,590,801.04/166,002
  6. Step 6: Final answer
    x = 82,791.72

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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.