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Finding the Fourth Proportional to 233,392.48, 321,403.86 and 202,751.56

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Solution

The fourth proportional to 233,392.48, 321,403.86 and 202,751.56 is: 279,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,392.48 : 321,403.86 = 202,751.56 : x
  2. Step 2: Convert to fraction form
    233,392.48/321,403.86 = 202,751.56/x
  3. Step 3: Cross multiply
    233,392.48x = 321,403.86 × 202,751.56
  4. Step 4: Simplify right side
    233,392.48x = 65,165,134,005.02
  5. Step 5: Solve for x
    x = 65,165,134,005.02/233,392.48
  6. Step 6: Final answer
    x = 279,208.37

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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.