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Finding the Fourth Proportional to 275,950.80, 413,823.80 and 109,704.40

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Solution

The fourth proportional to 275,950.80, 413,823.80 and 109,704.40 is: 164,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,950.80 : 413,823.80 = 109,704.40 : x
  2. Step 2: Convert to fraction form
    275,950.80/413,823.80 = 109,704.40/x
  3. Step 3: Cross multiply
    275,950.80x = 413,823.80 × 109,704.40
  4. Step 4: Simplify right side
    275,950.80x = 45,398,291,684.72
  5. Step 5: Solve for x
    x = 45,398,291,684.72/275,950.80
  6. Step 6: Final answer
    x = 164,515.89

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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.