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Finding the Fourth Proportional to 255,834.96, 353,149.56 and 192,357.24

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Solution

The fourth proportional to 255,834.96, 353,149.56 and 192,357.24 is: 265,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,834.96 : 353,149.56 = 192,357.24 : x
  2. Step 2: Convert to fraction form
    255,834.96/353,149.56 = 192,357.24/x
  3. Step 3: Cross multiply
    255,834.96x = 353,149.56 × 192,357.24
  4. Step 4: Simplify right side
    255,834.96x = 67,930,874,668.81
  5. Step 5: Solve for x
    x = 67,930,874,668.81/255,834.96
  6. Step 6: Final answer
    x = 265,526.16

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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.