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Finding the Fourth Proportional to 277,583.31, 416,194.53 and 109,120.12

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Solution

The fourth proportional to 277,583.31, 416,194.53 and 109,120.12 is: 163,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,583.31 : 416,194.53 = 109,120.12 : x
  2. Step 2: Convert to fraction form
    277,583.31/416,194.53 = 109,120.12/x
  3. Step 3: Cross multiply
    277,583.31x = 416,194.53 × 109,120.12
  4. Step 4: Simplify right side
    277,583.31x = 45,415,197,056.94
  5. Step 5: Solve for x
    x = 45,415,197,056.94/277,583.31
  6. Step 6: Final answer
    x = 163,609.25

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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.