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Finding the Fourth Proportional to 233,866.08, 322,843.14 and 137,056.56

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Solution

The fourth proportional to 233,866.08, 322,843.14 and 137,056.56 is: 189,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,866.08 : 322,843.14 = 137,056.56 : x
  2. Step 2: Convert to fraction form
    233,866.08/322,843.14 = 137,056.56/x
  3. Step 3: Cross multiply
    233,866.08x = 322,843.14 × 137,056.56
  4. Step 4: Simplify right side
    233,866.08x = 44,247,770,188.00
  5. Step 5: Solve for x
    x = 44,247,770,188.00/233,866.08
  6. Step 6: Final answer
    x = 189,201.32

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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.