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Finding the Fourth Proportional to 164,887.32, 227,460.78 and 104,355.96

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Solution

The fourth proportional to 164,887.32, 227,460.78 and 104,355.96 is: 143,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,887.32 : 227,460.78 = 104,355.96 : x
  2. Step 2: Convert to fraction form
    164,887.32/227,460.78 = 104,355.96/x
  3. Step 3: Cross multiply
    164,887.32x = 227,460.78 × 104,355.96
  4. Step 4: Simplify right side
    164,887.32x = 23,736,888,059.25
  5. Step 5: Solve for x
    x = 23,736,888,059.25/164,887.32
  6. Step 6: Final answer
    x = 143,958.24

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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.