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Finding the Fourth Proportional to 164,711.78, 227,489.08 and 110,903.38

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Solution

The fourth proportional to 164,711.78, 227,489.08 and 110,903.38 is: 153,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,711.78 : 227,489.08 = 110,903.38 : x
  2. Step 2: Convert to fraction form
    164,711.78/227,489.08 = 110,903.38/x
  3. Step 3: Cross multiply
    164,711.78x = 227,489.08 × 110,903.38
  4. Step 4: Simplify right side
    164,711.78x = 25,229,307,558.97
  5. Step 5: Solve for x
    x = 25,229,307,558.97/164,711.78
  6. Step 6: Final answer
    x = 153,172.46

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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.