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Finding the Fourth Proportional to 342,986.65, 514,499.42 and 106,362.97

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Solution

The fourth proportional to 342,986.65, 514,499.42 and 106,362.97 is: 159,550.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,986.65 : 514,499.42 = 106,362.97 : x
  2. Step 2: Convert to fraction form
    342,986.65/514,499.42 = 106,362.97/x
  3. Step 3: Cross multiply
    342,986.65x = 514,499.42 × 106,362.97
  4. Step 4: Simplify right side
    342,986.65x = 54,723,685,842.66
  5. Step 5: Solve for x
    x = 54,723,685,842.66/342,986.65
  6. Step 6: Final answer
    x = 159,550.48

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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.