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Finding the Fourth Proportional to 164,806.34, 227,431.49 and 93,188.90

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Solution

The fourth proportional to 164,806.34, 227,431.49 and 93,188.90 is: 128,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,806.34 : 227,431.49 = 93,188.90 : x
  2. Step 2: Convert to fraction form
    164,806.34/227,431.49 = 93,188.90/x
  3. Step 3: Cross multiply
    164,806.34x = 227,431.49 × 93,188.90
  4. Step 4: Simplify right side
    164,806.34x = 21,194,090,481.10
  5. Step 5: Solve for x
    x = 21,194,090,481.10/164,806.34
  6. Step 6: Final answer
    x = 128,599.97

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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.