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Finding the Fourth Proportional to 164,878.32, 227,448.36 and 104,346.96

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Solution

The fourth proportional to 164,878.32, 227,448.36 and 104,346.96 is: 143,945.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,878.32 : 227,448.36 = 104,346.96 : x
  2. Step 2: Convert to fraction form
    164,878.32/227,448.36 = 104,346.96/x
  3. Step 3: Cross multiply
    164,878.32x = 227,448.36 × 104,346.96
  4. Step 4: Simplify right side
    164,878.32x = 23,733,544,922.99
  5. Step 5: Solve for x
    x = 23,733,544,922.99/164,878.32
  6. Step 6: Final answer
    x = 143,945.82

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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.