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Finding the Fourth Proportional to 264,710.65, 365,281.51 and 149,991.57

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Solution

The fourth proportional to 264,710.65, 365,281.51 and 149,991.57 is: 206,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,710.65 : 365,281.51 = 149,991.57 : x
  2. Step 2: Convert to fraction form
    264,710.65/365,281.51 = 149,991.57/x
  3. Step 3: Cross multiply
    264,710.65x = 365,281.51 × 149,991.57
  4. Step 4: Simplify right side
    264,710.65x = 54,789,147,176.87
  5. Step 5: Solve for x
    x = 54,789,147,176.87/264,710.65
  6. Step 6: Final answer
    x = 206,977.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.