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Finding the Fourth Proportional to 196,833, 295,249.50 and 49,089

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Solution

The fourth proportional to 196,833, 295,249.50 and 49,089 is: 73,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,833 : 295,249.50 = 49,089 : x
  2. Step 2: Convert to fraction form
    196,833/295,249.50 = 49,089/x
  3. Step 3: Cross multiply
    196,833x = 295,249.50 × 49,089
  4. Step 4: Simplify right side
    196,833x = 14,493,502,705.50
  5. Step 5: Solve for x
    x = 14,493,502,705.50/196,833
  6. Step 6: Final answer
    x = 73,633.50

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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.