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Finding the Fourth Proportional to 216,506.14, 324,789.27 and 66,758.20

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Solution

The fourth proportional to 216,506.14, 324,789.27 and 66,758.20 is: 100,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,506.14 : 324,789.27 = 66,758.20 : x
  2. Step 2: Convert to fraction form
    216,506.14/324,789.27 = 66,758.20/x
  3. Step 3: Cross multiply
    216,506.14x = 324,789.27 × 66,758.20
  4. Step 4: Simplify right side
    216,506.14x = 21,682,346,482.88
  5. Step 5: Solve for x
    x = 21,682,346,482.88/216,506.14
  6. Step 6: Final answer
    x = 100,146.57

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1.5x scale

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.