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Finding the Fourth Proportional to 277,613.20, 383,101.64 and 150,287.68

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Solution

The fourth proportional to 277,613.20, 383,101.64 and 150,287.68 is: 207,394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,613.20 : 383,101.64 = 150,287.68 : x
  2. Step 2: Convert to fraction form
    277,613.20/383,101.64 = 150,287.68/x
  3. Step 3: Cross multiply
    277,613.20x = 383,101.64 × 150,287.68
  4. Step 4: Simplify right side
    277,613.20x = 57,575,456,679.80
  5. Step 5: Solve for x
    x = 57,575,456,679.80/277,613.20
  6. Step 6: Final answer
    x = 207,394.52

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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.