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Finding the Fourth Proportional to 277,837.22, 383,414.80 and 150,513.12

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Solution

The fourth proportional to 277,837.22, 383,414.80 and 150,513.12 is: 207,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,837.22 : 383,414.80 = 150,513.12 : x
  2. Step 2: Convert to fraction form
    277,837.22/383,414.80 = 150,513.12/x
  3. Step 3: Cross multiply
    277,837.22x = 383,414.80 × 150,513.12
  4. Step 4: Simplify right side
    277,837.22x = 57,708,957,802.18
  5. Step 5: Solve for x
    x = 57,708,957,802.18/277,837.22
  6. Step 6: Final answer
    x = 207,707.80

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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.