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Finding the Fourth Proportional to 266,407.76, 367,668.14 and 145,567.42

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Solution

The fourth proportional to 266,407.76, 367,668.14 and 145,567.42 is: 200,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,407.76 : 367,668.14 = 145,567.42 : x
  2. Step 2: Convert to fraction form
    266,407.76/367,668.14 = 145,567.42/x
  3. Step 3: Cross multiply
    266,407.76x = 367,668.14 × 145,567.42
  4. Step 4: Simplify right side
    266,407.76x = 53,520,502,556.00
  5. Step 5: Solve for x
    x = 53,520,502,556.00/266,407.76
  6. Step 6: Final answer
    x = 200,896.94

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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.