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Finding the Fourth Proportional to 218,166.40, 327,206.40 and 105,846.40

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Solution

The fourth proportional to 218,166.40, 327,206.40 and 105,846.40 is: 158,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,166.40 : 327,206.40 = 105,846.40 : x
  2. Step 2: Convert to fraction form
    218,166.40/327,206.40 = 105,846.40/x
  3. Step 3: Cross multiply
    218,166.40x = 327,206.40 × 105,846.40
  4. Step 4: Simplify right side
    218,166.40x = 34,633,619,496.96
  5. Step 5: Solve for x
    x = 34,633,619,496.96/218,166.40
  6. Step 6: Final answer
    x = 158,748.64

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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.