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Finding the Fourth Proportional to 273,949.20, 410,729.40 and 105,404.40

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Solution

The fourth proportional to 273,949.20, 410,729.40 and 105,404.40 is: 158,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,949.20 : 410,729.40 = 105,404.40 : x
  2. Step 2: Convert to fraction form
    273,949.20/410,729.40 = 105,404.40/x
  3. Step 3: Cross multiply
    273,949.20x = 410,729.40 × 105,404.40
  4. Step 4: Simplify right side
    273,949.20x = 43,292,685,969.36
  5. Step 5: Solve for x
    x = 43,292,685,969.36/273,949.20
  6. Step 6: Final answer
    x = 158,031.80

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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.