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Finding the Fourth Proportional to 277,702.12, 416,219.40 and 127,735.84

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Solution

The fourth proportional to 277,702.12, 416,219.40 and 127,735.84 is: 191,450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,702.12 : 416,219.40 = 127,735.84 : x
  2. Step 2: Convert to fraction form
    277,702.12/416,219.40 = 127,735.84/x
  3. Step 3: Cross multiply
    277,702.12x = 416,219.40 × 127,735.84
  4. Step 4: Simplify right side
    277,702.12x = 53,166,134,683.30
  5. Step 5: Solve for x
    x = 53,166,134,683.30/277,702.12
  6. Step 6: Final answer
    x = 191,450.23

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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.