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Finding the Fourth Proportional to 175,624.80, 263,437.20 and 166,876.80

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Solution

The fourth proportional to 175,624.80, 263,437.20 and 166,876.80 is: 250,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,624.80 : 263,437.20 = 166,876.80 : x
  2. Step 2: Convert to fraction form
    175,624.80/263,437.20 = 166,876.80/x
  3. Step 3: Cross multiply
    175,624.80x = 263,437.20 × 166,876.80
  4. Step 4: Simplify right side
    175,624.80x = 43,961,556,936.96
  5. Step 5: Solve for x
    x = 43,961,556,936.96/175,624.80
  6. Step 6: Final answer
    x = 250,315.20

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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.