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Finding the Fourth Proportional to 164,872.78, 227,548.88 and 104,449.03

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Solution

The fourth proportional to 164,872.78, 227,548.88 and 104,449.03 is: 144,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,872.78 : 227,548.88 = 104,449.03 : x
  2. Step 2: Convert to fraction form
    164,872.78/227,548.88 = 104,449.03/x
  3. Step 3: Cross multiply
    164,872.78x = 227,548.88 × 104,449.03
  4. Step 4: Simplify right side
    164,872.78x = 23,767,259,094.15
  5. Step 5: Solve for x
    x = 23,767,259,094.15/164,872.78
  6. Step 6: Final answer
    x = 144,155.14

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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.