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Finding the Fourth Proportional to 207,905.80, 311,340.30 and 166,433.80

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Solution

The fourth proportional to 207,905.80, 311,340.30 and 166,433.80 is: 249,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,905.80 : 311,340.30 = 166,433.80 : x
  2. Step 2: Convert to fraction form
    207,905.80/311,340.30 = 166,433.80/x
  3. Step 3: Cross multiply
    207,905.80x = 311,340.30 × 166,433.80
  4. Step 4: Simplify right side
    207,905.80x = 51,817,549,222.14
  5. Step 5: Solve for x
    x = 51,817,549,222.14/207,905.80
  6. Step 6: Final answer
    x = 249,235.71

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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.