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Finding the Fourth Proportional to 164,810.30, 227,373.89 and 107,516.97

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Solution

The fourth proportional to 164,810.30, 227,373.89 and 107,516.97 is: 148,331.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,810.30 : 227,373.89 = 107,516.97 : x
  2. Step 2: Convert to fraction form
    164,810.30/227,373.89 = 107,516.97/x
  3. Step 3: Cross multiply
    164,810.30x = 227,373.89 × 107,516.97
  4. Step 4: Simplify right side
    164,810.30x = 24,446,551,172.33
  5. Step 5: Solve for x
    x = 24,446,551,172.33/164,810.30
  6. Step 6: Final answer
    x = 148,331.46

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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.