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Finding the Fourth Proportional to 166,596, 249,894.24 and 68,100

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Solution

The fourth proportional to 166,596, 249,894.24 and 68,100 is: 102,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,596 : 249,894.24 = 68,100 : x
  2. Step 2: Convert to fraction form
    166,596/249,894.24 = 68,100/x
  3. Step 3: Cross multiply
    166,596x = 249,894.24 × 68,100
  4. Step 4: Simplify right side
    166,596x = 17,017,797,744
  5. Step 5: Solve for x
    x = 17,017,797,744/166,596
  6. Step 6: Final answer
    x = 102,150.10

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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.