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Finding the Fourth Proportional to 277,725.96, 383,261.24 and 150,401.16

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Solution

The fourth proportional to 277,725.96, 383,261.24 and 150,401.16 is: 207,553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,725.96 : 383,261.24 = 150,401.16 : x
  2. Step 2: Convert to fraction form
    277,725.96/383,261.24 = 150,401.16/x
  3. Step 3: Cross multiply
    277,725.96x = 383,261.24 × 150,401.16
  4. Step 4: Simplify right side
    277,725.96x = 57,642,935,079.04
  5. Step 5: Solve for x
    x = 57,642,935,079.04/277,725.96
  6. Step 6: Final answer
    x = 207,553.28

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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.