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Finding the Fourth Proportional to 110,497.33, 165,914.88 and 105,948.37

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Solution

The fourth proportional to 110,497.33, 165,914.88 and 105,948.37 is: 159,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,497.33 : 165,914.88 = 105,948.37 : x
  2. Step 2: Convert to fraction form
    110,497.33/165,914.88 = 105,948.37/x
  3. Step 3: Cross multiply
    110,497.33x = 165,914.88 × 105,948.37
  4. Step 4: Simplify right side
    110,497.33x = 17,578,409,735.43
  5. Step 5: Solve for x
    x = 17,578,409,735.43/110,497.33
  6. Step 6: Final answer
    x = 159,084.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.