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Finding the Fourth Proportional to 227,455.62, 313,825.77 and 146,886.54

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Solution

The fourth proportional to 227,455.62, 313,825.77 and 146,886.54 is: 202,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,455.62 : 313,825.77 = 146,886.54 : x
  2. Step 2: Convert to fraction form
    227,455.62/313,825.77 = 146,886.54/x
  3. Step 3: Cross multiply
    227,455.62x = 313,825.77 × 146,886.54
  4. Step 4: Simplify right side
    227,455.62x = 46,096,781,518.14
  5. Step 5: Solve for x
    x = 46,096,781,518.14/227,455.62
  6. Step 6: Final answer
    x = 202,662.75

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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.