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Finding the Fourth Proportional to 127,297, 190,945.50 and 44,191

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Solution

The fourth proportional to 127,297, 190,945.50 and 44,191 is: 66,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,297 : 190,945.50 = 44,191 : x
  2. Step 2: Convert to fraction form
    127,297/190,945.50 = 44,191/x
  3. Step 3: Cross multiply
    127,297x = 190,945.50 × 44,191
  4. Step 4: Simplify right side
    127,297x = 8,438,072,590.50
  5. Step 5: Solve for x
    x = 8,438,072,590.50/127,297
  6. Step 6: Final answer
    x = 66,286.50

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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.