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Finding the Fourth Proportional to 229,238.88, 343,749.87 and 85,097.34

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Solution

The fourth proportional to 229,238.88, 343,749.87 and 85,097.34 is: 127,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,238.88 : 343,749.87 = 85,097.34 : x
  2. Step 2: Convert to fraction form
    229,238.88/343,749.87 = 85,097.34/x
  3. Step 3: Cross multiply
    229,238.88x = 343,749.87 × 85,097.34
  4. Step 4: Simplify right side
    229,238.88x = 29,252,199,562.35
  5. Step 5: Solve for x
    x = 29,252,199,562.35/229,238.88
  6. Step 6: Final answer
    x = 127,605.75

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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.