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Finding the Fourth Proportional to 175,782.85, 263,689.85 and 49,424.20

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Solution

The fourth proportional to 175,782.85, 263,689.85 and 49,424.20 is: 74,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,782.85 : 263,689.85 = 49,424.20 : x
  2. Step 2: Convert to fraction form
    175,782.85/263,689.85 = 49,424.20/x
  3. Step 3: Cross multiply
    175,782.85x = 263,689.85 × 49,424.20
  4. Step 4: Simplify right side
    175,782.85x = 13,032,659,884.37
  5. Step 5: Solve for x
    x = 13,032,659,884.37/175,782.85
  6. Step 6: Final answer
    x = 74,140.68

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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.