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Finding the Fourth Proportional to 277,721.36, 383,254.70 and 150,396.92

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Solution

The fourth proportional to 277,721.36, 383,254.70 and 150,396.92 is: 207,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,721.36 : 383,254.70 = 150,396.92 : x
  2. Step 2: Convert to fraction form
    277,721.36/383,254.70 = 150,396.92/x
  3. Step 3: Cross multiply
    277,721.36x = 383,254.70 × 150,396.92
  4. Step 4: Simplify right side
    277,721.36x = 57,640,323,787.27
  5. Step 5: Solve for x
    x = 57,640,323,787.27/277,721.36
  6. Step 6: Final answer
    x = 207,547.32

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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.