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Finding the Fourth Proportional to 255,674.94, 352,843.50 and 142,498.50

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Solution

The fourth proportional to 255,674.94, 352,843.50 and 142,498.50 is: 196,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,674.94 : 352,843.50 = 142,498.50 : x
  2. Step 2: Convert to fraction form
    255,674.94/352,843.50 = 142,498.50/x
  3. Step 3: Cross multiply
    255,674.94x = 352,843.50 × 142,498.50
  4. Step 4: Simplify right side
    255,674.94x = 50,279,669,484.75
  5. Step 5: Solve for x
    x = 50,279,669,484.75/255,674.94
  6. Step 6: Final answer
    x = 196,654.66

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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.