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Finding the Fourth Proportional to 197,227, 295,840.50 and 65,899

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Solution

The fourth proportional to 197,227, 295,840.50 and 65,899 is: 98,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,227 : 295,840.50 = 65,899 : x
  2. Step 2: Convert to fraction form
    197,227/295,840.50 = 65,899/x
  3. Step 3: Cross multiply
    197,227x = 295,840.50 × 65,899
  4. Step 4: Simplify right side
    197,227x = 19,495,593,109.50
  5. Step 5: Solve for x
    x = 19,495,593,109.50/197,227
  6. Step 6: Final answer
    x = 98,848.50

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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.