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Finding the Fourth Proportional to 266,658.40, 367,993.92 and 145,807.24

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Solution

The fourth proportional to 266,658.40, 367,993.92 and 145,807.24 is: 201,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,658.40 : 367,993.92 = 145,807.24 : x
  2. Step 2: Convert to fraction form
    266,658.40/367,993.92 = 145,807.24/x
  3. Step 3: Cross multiply
    266,658.40x = 367,993.92 × 145,807.24
  4. Step 4: Simplify right side
    266,658.40x = 53,656,177,811.98
  5. Step 5: Solve for x
    x = 53,656,177,811.98/266,658.40
  6. Step 6: Final answer
    x = 201,216.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.