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Finding the Fourth Proportional to 301,839.90, 452,759.85 and 144,375.90

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Solution

The fourth proportional to 301,839.90, 452,759.85 and 144,375.90 is: 216,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,839.90 : 452,759.85 = 144,375.90 : x
  2. Step 2: Convert to fraction form
    301,839.90/452,759.85 = 144,375.90/x
  3. Step 3: Cross multiply
    301,839.90x = 452,759.85 × 144,375.90
  4. Step 4: Simplify right side
    301,839.90x = 65,367,610,827.62
  5. Step 5: Solve for x
    x = 65,367,610,827.62/301,839.90
  6. Step 6: Final answer
    x = 216,563.85

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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.