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Finding the Fourth Proportional to 199,573.49, 299,201.25 and 115,237.91

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Solution

The fourth proportional to 199,573.49, 299,201.25 and 115,237.91 is: 172,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,573.49 : 299,201.25 = 115,237.91 : x
  2. Step 2: Convert to fraction form
    199,573.49/299,201.25 = 115,237.91/x
  3. Step 3: Cross multiply
    199,573.49x = 299,201.25 × 115,237.91
  4. Step 4: Simplify right side
    199,573.49x = 34,479,326,719.39
  5. Step 5: Solve for x
    x = 34,479,326,719.39/199,573.49
  6. Step 6: Final answer
    x = 172,765.06

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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.