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Finding the Fourth Proportional to 275,716.84, 413,349.23 and 98,122.72

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Solution

The fourth proportional to 275,716.84, 413,349.23 and 98,122.72 is: 147,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,716.84 : 413,349.23 = 98,122.72 : x
  2. Step 2: Convert to fraction form
    275,716.84/413,349.23 = 98,122.72/x
  3. Step 3: Cross multiply
    275,716.84x = 413,349.23 × 98,122.72
  4. Step 4: Simplify right side
    275,716.84x = 40,558,950,757.51
  5. Step 5: Solve for x
    x = 40,558,950,757.51/275,716.84
  6. Step 6: Final answer
    x = 147,103.64

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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.