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Finding the Fourth Proportional to 196,842.45, 295,191 and 70,448.43

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Solution

The fourth proportional to 196,842.45, 295,191 and 70,448.43 is: 105,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,842.45 : 295,191 = 70,448.43 : x
  2. Step 2: Convert to fraction form
    196,842.45/295,191 = 70,448.43/x
  3. Step 3: Cross multiply
    196,842.45x = 295,191 × 70,448.43
  4. Step 4: Simplify right side
    196,842.45x = 20,795,742,500.13
  5. Step 5: Solve for x
    x = 20,795,742,500.13/196,842.45
  6. Step 6: Final answer
    x = 105,646.64

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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.