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Finding the Fourth Proportional to 277,613.72, 383,107.80 and 150,289.01

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Solution

The fourth proportional to 277,613.72, 383,107.80 and 150,289.01 is: 207,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,613.72 : 383,107.80 = 150,289.01 : x
  2. Step 2: Convert to fraction form
    277,613.72/383,107.80 = 150,289.01/x
  3. Step 3: Cross multiply
    277,613.72x = 383,107.80 × 150,289.01
  4. Step 4: Simplify right side
    277,613.72x = 57,576,891,985.28
  5. Step 5: Solve for x
    x = 57,576,891,985.28/277,613.72
  6. Step 6: Final answer
    x = 207,399.30

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1.5x scale

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.