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Finding the Fourth Proportional to 216,704.14, 299,065.44 and 121,211.38

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Solution

The fourth proportional to 216,704.14, 299,065.44 and 121,211.38 is: 167,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,704.14 : 299,065.44 = 121,211.38 : x
  2. Step 2: Convert to fraction form
    216,704.14/299,065.44 = 121,211.38/x
  3. Step 3: Cross multiply
    216,704.14x = 299,065.44 × 121,211.38
  4. Step 4: Simplify right side
    216,704.14x = 36,250,134,692.71
  5. Step 5: Solve for x
    x = 36,250,134,692.71/216,704.14
  6. Step 6: Final answer
    x = 167,279.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.