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Finding the Fourth Proportional to 218,395.82, 327,441.74 and 96,750.29

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Solution

The fourth proportional to 218,395.82, 327,441.74 and 96,750.29 is: 145,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,395.82 : 327,441.74 = 96,750.29 : x
  2. Step 2: Convert to fraction form
    218,395.82/327,441.74 = 96,750.29/x
  3. Step 3: Cross multiply
    218,395.82x = 327,441.74 × 96,750.29
  4. Step 4: Simplify right side
    218,395.82x = 31,680,081,182.14
  5. Step 5: Solve for x
    x = 31,680,081,182.14/218,395.82
  6. Step 6: Final answer
    x = 145,058.10

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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.