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Finding the Fourth Proportional to 218,767.96, 328,158.96 and 69,009.64

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Solution

The fourth proportional to 218,767.96, 328,158.96 and 69,009.64 is: 103,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,767.96 : 328,158.96 = 69,009.64 : x
  2. Step 2: Convert to fraction form
    218,767.96/328,158.96 = 69,009.64/x
  3. Step 3: Cross multiply
    218,767.96x = 328,158.96 × 69,009.64
  4. Step 4: Simplify right side
    218,767.96x = 22,646,131,692.37
  5. Step 5: Solve for x
    x = 22,646,131,692.37/218,767.96
  6. Step 6: Final answer
    x = 103,516.67

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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.