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Finding the Fourth Proportional to 196,697.16, 295,164 and 70,327.44

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Solution

The fourth proportional to 196,697.16, 295,164 and 70,327.44 is: 105,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,697.16 : 295,164 = 70,327.44 : x
  2. Step 2: Convert to fraction form
    196,697.16/295,164 = 70,327.44/x
  3. Step 3: Cross multiply
    196,697.16x = 295,164 × 70,327.44
  4. Step 4: Simplify right side
    196,697.16x = 20,758,128,500.16
  5. Step 5: Solve for x
    x = 20,758,128,500.16/196,697.16
  6. Step 6: Final answer
    x = 105,533.44

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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.