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Finding the Fourth Proportional to 277,743.72, 383,285.96 and 150,419.82

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Solution

The fourth proportional to 277,743.72, 383,285.96 and 150,419.82 is: 207,579.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,743.72 : 383,285.96 = 150,419.82 : x
  2. Step 2: Convert to fraction form
    277,743.72/383,285.96 = 150,419.82/x
  3. Step 3: Cross multiply
    277,743.72x = 383,285.96 × 150,419.82
  4. Step 4: Simplify right side
    277,743.72x = 57,653,805,111.73
  5. Step 5: Solve for x
    x = 57,653,805,111.73/277,743.72
  6. Step 6: Final answer
    x = 207,579.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.