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Finding the Fourth Proportional to 277,381.37, 382,796.11 and 156,515.60

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Solution

The fourth proportional to 277,381.37, 382,796.11 and 156,515.60 is: 215,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,381.37 : 382,796.11 = 156,515.60 : x
  2. Step 2: Convert to fraction form
    277,381.37/382,796.11 = 156,515.60/x
  3. Step 3: Cross multiply
    277,381.37x = 382,796.11 × 156,515.60
  4. Step 4: Simplify right side
    277,381.37x = 59,913,563,986.95
  5. Step 5: Solve for x
    x = 59,913,563,986.95/277,381.37
  6. Step 6: Final answer
    x = 215,997.07

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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.