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Finding the Fourth Proportional to 277,867.38, 383,457.38 and 150,542.98

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Solution

The fourth proportional to 277,867.38, 383,457.38 and 150,542.98 is: 207,749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,867.38 : 383,457.38 = 150,542.98 : x
  2. Step 2: Convert to fraction form
    277,867.38/383,457.38 = 150,542.98/x
  3. Step 3: Cross multiply
    277,867.38x = 383,457.38 × 150,542.98
  4. Step 4: Simplify right side
    277,867.38x = 57,726,816,688.19
  5. Step 5: Solve for x
    x = 57,726,816,688.19/277,867.38
  6. Step 6: Final answer
    x = 207,749.53

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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.