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Finding the Fourth Proportional to 164,709.84, 227,179.56 and 104,290.32

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Solution

The fourth proportional to 164,709.84, 227,179.56 and 104,290.32 is: 143,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,709.84 : 227,179.56 = 104,290.32 : x
  2. Step 2: Convert to fraction form
    164,709.84/227,179.56 = 104,290.32/x
  3. Step 3: Cross multiply
    164,709.84x = 227,179.56 × 104,290.32
  4. Step 4: Simplify right side
    164,709.84x = 23,692,629,009.86
  5. Step 5: Solve for x
    x = 23,692,629,009.86/164,709.84
  6. Step 6: Final answer
    x = 143,844.65

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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.