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Finding the Fourth Proportional to 164,627.97, 227,181.93 and 96,643.86

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Solution

The fourth proportional to 164,627.97, 227,181.93 and 96,643.86 is: 133,365.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,627.97 : 227,181.93 = 96,643.86 : x
  2. Step 2: Convert to fraction form
    164,627.97/227,181.93 = 96,643.86/x
  3. Step 3: Cross multiply
    164,627.97x = 227,181.93 × 96,643.86
  4. Step 4: Simplify right side
    164,627.97x = 21,955,738,637.45
  5. Step 5: Solve for x
    x = 21,955,738,637.45/164,627.97
  6. Step 6: Final answer
    x = 133,365.79

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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.