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Finding the Fourth Proportional to 199,646.49, 298,992.32 and 115,150.50

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Solution

The fourth proportional to 199,646.49, 298,992.32 and 115,150.50 is: 172,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,646.49 : 298,992.32 = 115,150.50 : x
  2. Step 2: Convert to fraction form
    199,646.49/298,992.32 = 115,150.50/x
  3. Step 3: Cross multiply
    199,646.49x = 298,992.32 × 115,150.50
  4. Step 4: Simplify right side
    199,646.49x = 34,429,115,144.16
  5. Step 5: Solve for x
    x = 34,429,115,144.16/199,646.49
  6. Step 6: Final answer
    x = 172,450.39

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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.