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Finding the Fourth Proportional to 277,186.76, 415,776.50 and 66,823.01

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Solution

The fourth proportional to 277,186.76, 415,776.50 and 66,823.01 is: 100,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,186.76 : 415,776.50 = 66,823.01 : x
  2. Step 2: Convert to fraction form
    277,186.76/415,776.50 = 66,823.01/x
  3. Step 3: Cross multiply
    277,186.76x = 415,776.50 × 66,823.01
  4. Step 4: Simplify right side
    277,186.76x = 27,783,436,883.15
  5. Step 5: Solve for x
    x = 27,783,436,883.15/277,186.76
  6. Step 6: Final answer
    x = 100,233.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.