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Finding the Fourth Proportional to 273,783.40, 410,676.24 and 84,242.56

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Solution

The fourth proportional to 273,783.40, 410,676.24 and 84,242.56 is: 126,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,783.40 : 410,676.24 = 84,242.56 : x
  2. Step 2: Convert to fraction form
    273,783.40/410,676.24 = 84,242.56/x
  3. Step 3: Cross multiply
    273,783.40x = 410,676.24 × 84,242.56
  4. Step 4: Simplify right side
    273,783.40x = 34,596,417,788.77
  5. Step 5: Solve for x
    x = 34,596,417,788.77/273,783.40
  6. Step 6: Final answer
    x = 126,364.19

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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.