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Finding the Fourth Proportional to 201,496.80, 301,807.80 and 166,504.80

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Solution

The fourth proportional to 201,496.80, 301,807.80 and 166,504.80 is: 249,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,496.80 : 301,807.80 = 166,504.80 : x
  2. Step 2: Convert to fraction form
    201,496.80/301,807.80 = 166,504.80/x
  3. Step 3: Cross multiply
    201,496.80x = 301,807.80 × 166,504.80
  4. Step 4: Simplify right side
    201,496.80x = 50,252,447,377.44
  5. Step 5: Solve for x
    x = 50,252,447,377.44/201,496.80
  6. Step 6: Final answer
    x = 249,395.76

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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.