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Finding the Fourth Proportional to 277,681.91, 383,200.47 and 150,357.87

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Solution

The fourth proportional to 277,681.91, 383,200.47 and 150,357.87 is: 207,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,681.91 : 383,200.47 = 150,357.87 : x
  2. Step 2: Convert to fraction form
    277,681.91/383,200.47 = 150,357.87/x
  3. Step 3: Cross multiply
    277,681.91x = 383,200.47 × 150,357.87
  4. Step 4: Simplify right side
    277,681.91x = 57,617,206,452.20
  5. Step 5: Solve for x
    x = 57,617,206,452.20/277,681.91
  6. Step 6: Final answer
    x = 207,493.56

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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.