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Finding the Fourth Proportional to 164,810.82, 227,443.38 and 93,201.50

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Solution

The fourth proportional to 164,810.82, 227,443.38 and 93,201.50 is: 128,620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,810.82 : 227,443.38 = 93,201.50 : x
  2. Step 2: Convert to fraction form
    164,810.82/227,443.38 = 93,201.50/x
  3. Step 3: Cross multiply
    164,810.82x = 227,443.38 × 93,201.50
  4. Step 4: Simplify right side
    164,810.82x = 21,198,064,181.07
  5. Step 5: Solve for x
    x = 21,198,064,181.07/164,810.82
  6. Step 6: Final answer
    x = 128,620.59

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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.