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Finding the Fourth Proportional to 218,767.70, 328,161.98 and 106,313.94

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Solution

The fourth proportional to 218,767.70, 328,161.98 and 106,313.94 is: 159,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,767.70 : 328,161.98 = 106,313.94 : x
  2. Step 2: Convert to fraction form
    218,767.70/328,161.98 = 106,313.94/x
  3. Step 3: Cross multiply
    218,767.70x = 328,161.98 × 106,313.94
  4. Step 4: Simplify right side
    218,767.70x = 34,888,193,052.00
  5. Step 5: Solve for x
    x = 34,888,193,052.00/218,767.70
  6. Step 6: Final answer
    x = 159,475.98

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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.