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Finding the Fourth Proportional to 277,866.12, 383,455.66 and 150,541.72

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Solution

The fourth proportional to 277,866.12, 383,455.66 and 150,541.72 is: 207,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,866.12 : 383,455.66 = 150,541.72 : x
  2. Step 2: Convert to fraction form
    277,866.12/383,455.66 = 150,541.72/x
  3. Step 3: Cross multiply
    277,866.12x = 383,455.66 × 150,541.72
  4. Step 4: Simplify right side
    277,866.12x = 57,726,074,600.14
  5. Step 5: Solve for x
    x = 57,726,074,600.14/277,866.12
  6. Step 6: Final answer
    x = 207,747.80

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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.