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Finding the Fourth Proportional to 301,834.20, 452,232.90 and 143,722.20

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Solution

The fourth proportional to 301,834.20, 452,232.90 and 143,722.20 is: 215,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,834.20 : 452,232.90 = 143,722.20 : x
  2. Step 2: Convert to fraction form
    301,834.20/452,232.90 = 143,722.20/x
  3. Step 3: Cross multiply
    301,834.20x = 452,232.90 × 143,722.20
  4. Step 4: Simplify right side
    301,834.20x = 64,995,907,300.38
  5. Step 5: Solve for x
    x = 64,995,907,300.38/301,834.20
  6. Step 6: Final answer
    x = 215,336.46

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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.