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Finding the Fourth Proportional to 273,780.80, 410,824.80 and 115,982.40

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Solution

The fourth proportional to 273,780.80, 410,824.80 and 115,982.40 is: 174,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,780.80 : 410,824.80 = 115,982.40 : x
  2. Step 2: Convert to fraction form
    273,780.80/410,824.80 = 115,982.40/x
  3. Step 3: Cross multiply
    273,780.80x = 410,824.80 × 115,982.40
  4. Step 4: Simplify right side
    273,780.80x = 47,648,446,283.52
  5. Step 5: Solve for x
    x = 47,648,446,283.52/273,780.80
  6. Step 6: Final answer
    x = 174,038.67

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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.