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Finding the Fourth Proportional to 176,167.80, 263,814.30 and 141,175.80

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Solution

The fourth proportional to 176,167.80, 263,814.30 and 141,175.80 is: 211,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,167.80 : 263,814.30 = 141,175.80 : x
  2. Step 2: Convert to fraction form
    176,167.80/263,814.30 = 141,175.80/x
  3. Step 3: Cross multiply
    176,167.80x = 263,814.30 × 141,175.80
  4. Step 4: Simplify right side
    176,167.80x = 37,244,194,853.94
  5. Step 5: Solve for x
    x = 37,244,194,853.94/176,167.80
  6. Step 6: Final answer
    x = 211,413.18

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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.