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Finding the Fourth Proportional to 166,500, 249,750.24 and 68,004

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Solution

The fourth proportional to 166,500, 249,750.24 and 68,004 is: 102,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,500 : 249,750.24 = 68,004 : x
  2. Step 2: Convert to fraction form
    166,500/249,750.24 = 68,004/x
  3. Step 3: Cross multiply
    166,500x = 249,750.24 × 68,004
  4. Step 4: Simplify right side
    166,500x = 16,984,015,320.96
  5. Step 5: Solve for x
    x = 16,984,015,320.96/166,500
  6. Step 6: Final answer
    x = 102,006.10

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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.