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Finding the Fourth Proportional to 277,186.60, 382,518.44 and 149,863.11

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Solution

The fourth proportional to 277,186.60, 382,518.44 and 149,863.11 is: 206,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,186.60 : 382,518.44 = 149,863.11 : x
  2. Step 2: Convert to fraction form
    277,186.60/382,518.44 = 149,863.11/x
  3. Step 3: Cross multiply
    277,186.60x = 382,518.44 × 149,863.11
  4. Step 4: Simplify right side
    277,186.60x = 57,325,403,050.75
  5. Step 5: Solve for x
    x = 57,325,403,050.75/277,186.60
  6. Step 6: Final answer
    x = 206,811.60

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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.