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Finding the Fourth Proportional to 209,226.72, 313,900.80 and 76,104

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Solution

The fourth proportional to 209,226.72, 313,900.80 and 76,104 is: 114,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,226.72 : 313,900.80 = 76,104 : x
  2. Step 2: Convert to fraction form
    209,226.72/313,900.80 = 76,104/x
  3. Step 3: Cross multiply
    209,226.72x = 313,900.80 × 76,104
  4. Step 4: Simplify right side
    209,226.72x = 23,889,106,483.20
  5. Step 5: Solve for x
    x = 23,889,106,483.20/209,226.72
  6. Step 6: Final answer
    x = 114,178.09

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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.