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Finding the Fourth Proportional to 266,509.71, 367,784.36 and 145,650.96

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Solution

The fourth proportional to 266,509.71, 367,784.36 and 145,650.96 is: 200,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,509.71 : 367,784.36 = 145,650.96 : x
  2. Step 2: Convert to fraction form
    266,509.71/367,784.36 = 145,650.96/x
  3. Step 3: Cross multiply
    266,509.71x = 367,784.36 × 145,650.96
  4. Step 4: Simplify right side
    266,509.71x = 53,568,145,106.99
  5. Step 5: Solve for x
    x = 53,568,145,106.99/266,509.71
  6. Step 6: Final answer
    x = 200,998.85

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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.