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Finding the Fourth Proportional to 207,949.80, 311,406.30 and 166,477.80

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Solution

The fourth proportional to 207,949.80, 311,406.30 and 166,477.80 is: 249,301.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,949.80 : 311,406.30 = 166,477.80 : x
  2. Step 2: Convert to fraction form
    207,949.80/311,406.30 = 166,477.80/x
  3. Step 3: Cross multiply
    207,949.80x = 311,406.30 × 166,477.80
  4. Step 4: Simplify right side
    207,949.80x = 51,842,235,730.14
  5. Step 5: Solve for x
    x = 51,842,235,730.14/207,949.80
  6. Step 6: Final answer
    x = 249,301.69

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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.