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Finding the Fourth Proportional to 233,746.36, 350,930.56 and 123,016.12

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Solution

The fourth proportional to 233,746.36, 350,930.56 and 123,016.12 is: 184,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,746.36 : 350,930.56 = 123,016.12 : x
  2. Step 2: Convert to fraction form
    233,746.36/350,930.56 = 123,016.12/x
  3. Step 3: Cross multiply
    233,746.36x = 350,930.56 × 123,016.12
  4. Step 4: Simplify right side
    233,746.36x = 43,170,115,880.63
  5. Step 5: Solve for x
    x = 43,170,115,880.63/233,746.36
  6. Step 6: Final answer
    x = 184,687.86

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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.