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Finding the Fourth Proportional to 321,452.51, 482,022.90 and 96,771.06

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Solution

The fourth proportional to 321,452.51, 482,022.90 and 96,771.06 is: 145,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,452.51 : 482,022.90 = 96,771.06 : x
  2. Step 2: Convert to fraction form
    321,452.51/482,022.90 = 96,771.06/x
  3. Step 3: Cross multiply
    321,452.51x = 482,022.90 × 96,771.06
  4. Step 4: Simplify right side
    321,452.51x = 46,645,866,977.27
  5. Step 5: Solve for x
    x = 46,645,866,977.27/321,452.51
  6. Step 6: Final answer
    x = 145,109.67

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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.