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Finding the Fourth Proportional to 197,282, 295,961.88 and 64,153.68

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Solution

The fourth proportional to 197,282, 295,961.88 and 64,153.68 is: 96,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,282 : 295,961.88 = 64,153.68 : x
  2. Step 2: Convert to fraction form
    197,282/295,961.88 = 64,153.68/x
  3. Step 3: Cross multiply
    197,282x = 295,961.88 × 64,153.68
  4. Step 4: Simplify right side
    197,282x = 18,987,043,741.72
  5. Step 5: Solve for x
    x = 18,987,043,741.72/197,282
  6. Step 6: Final answer
    x = 96,243.16

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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.