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Finding the Fourth Proportional to 199,770.95, 299,654.37 and 115,477.48

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Solution

The fourth proportional to 199,770.95, 299,654.37 and 115,477.48 is: 173,215.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,770.95 : 299,654.37 = 115,477.48 : x
  2. Step 2: Convert to fraction form
    199,770.95/299,654.37 = 115,477.48/x
  3. Step 3: Cross multiply
    199,770.95x = 299,654.37 × 115,477.48
  4. Step 4: Simplify right side
    199,770.95x = 34,603,331,893.16
  5. Step 5: Solve for x
    x = 34,603,331,893.16/199,770.95
  6. Step 6: Final answer
    x = 173,215.03

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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.