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Finding the Fourth Proportional to 255,894.86, 353,135.52 and 142,724.90

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Solution

The fourth proportional to 255,894.86, 353,135.52 and 142,724.90 is: 196,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,894.86 : 353,135.52 = 142,724.90 : x
  2. Step 2: Convert to fraction form
    255,894.86/353,135.52 = 142,724.90/x
  3. Step 3: Cross multiply
    255,894.86x = 353,135.52 × 142,724.90
  4. Step 4: Simplify right side
    255,894.86x = 50,401,231,778.45
  5. Step 5: Solve for x
    x = 50,401,231,778.45/255,894.86
  6. Step 6: Final answer
    x = 196,960.70

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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.