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Finding the Fourth Proportional to 218,160.48, 327,186.72 and 154,796.16

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Solution

The fourth proportional to 218,160.48, 327,186.72 and 154,796.16 is: 232,155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,160.48 : 327,186.72 = 154,796.16 : x
  2. Step 2: Convert to fraction form
    218,160.48/327,186.72 = 154,796.16/x
  3. Step 3: Cross multiply
    218,160.48x = 327,186.72 × 154,796.16
  4. Step 4: Simplify right side
    218,160.48x = 50,647,247,859.00
  5. Step 5: Solve for x
    x = 50,647,247,859.00/218,160.48
  6. Step 6: Final answer
    x = 232,155.92

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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.