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Finding the Fourth Proportional to 218,427.64, 327,364.44 and 98,356.48

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Solution

The fourth proportional to 218,427.64, 327,364.44 and 98,356.48 is: 147,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,427.64 : 327,364.44 = 98,356.48 : x
  2. Step 2: Convert to fraction form
    218,427.64/327,364.44 = 98,356.48/x
  3. Step 3: Cross multiply
    218,427.64x = 327,364.44 × 98,356.48
  4. Step 4: Simplify right side
    218,427.64x = 32,198,413,995.57
  5. Step 5: Solve for x
    x = 32,198,413,995.57/218,427.64
  6. Step 6: Final answer
    x = 147,409.98

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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.