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Finding the Fourth Proportional to 170,358.82, 255,255.74 and 103,597

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Solution

The fourth proportional to 170,358.82, 255,255.74 and 103,597 is: 155,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,358.82 : 255,255.74 = 103,597 : x
  2. Step 2: Convert to fraction form
    170,358.82/255,255.74 = 103,597/x
  3. Step 3: Cross multiply
    170,358.82x = 255,255.74 × 103,597
  4. Step 4: Simplify right side
    170,358.82x = 26,443,728,896.78
  5. Step 5: Solve for x
    x = 26,443,728,896.78/170,358.82
  6. Step 6: Final answer
    x = 155,223.71

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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.