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Finding the Fourth Proportional to 233,832.09, 350,748.88 and 65,351.31

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Solution

The fourth proportional to 233,832.09, 350,748.88 and 65,351.31 is: 98,027.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,832.09 : 350,748.88 = 65,351.31 : x
  2. Step 2: Convert to fraction form
    233,832.09/350,748.88 = 65,351.31/x
  3. Step 3: Cross multiply
    233,832.09x = 350,748.88 × 65,351.31
  4. Step 4: Simplify right side
    233,832.09x = 22,921,898,625.65
  5. Step 5: Solve for x
    x = 22,921,898,625.65/233,832.09
  6. Step 6: Final answer
    x = 98,027.17

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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.