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Finding the Fourth Proportional to 227,211.90, 313,575.75 and 136,597.38

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Solution

The fourth proportional to 227,211.90, 313,575.75 and 136,597.38 is: 188,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,211.90 : 313,575.75 = 136,597.38 : x
  2. Step 2: Convert to fraction form
    227,211.90/313,575.75 = 136,597.38/x
  3. Step 3: Cross multiply
    227,211.90x = 313,575.75 × 136,597.38
  4. Step 4: Simplify right side
    227,211.90x = 42,833,625,881.54
  5. Step 5: Solve for x
    x = 42,833,625,881.54/227,211.90
  6. Step 6: Final answer
    x = 188,518.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.