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Finding the Fourth Proportional to 277,601.58, 383,090.11 and 150,277.07

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Solution

The fourth proportional to 277,601.58, 383,090.11 and 150,277.07 is: 207,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,601.58 : 383,090.11 = 150,277.07 : x
  2. Step 2: Convert to fraction form
    277,601.58/383,090.11 = 150,277.07/x
  3. Step 3: Cross multiply
    277,601.58x = 383,090.11 × 150,277.07
  4. Step 4: Simplify right side
    277,601.58x = 57,569,659,858.81
  5. Step 5: Solve for x
    x = 57,569,659,858.81/277,601.58
  6. Step 6: Final answer
    x = 207,382.32

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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.