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Finding the Fourth Proportional to 208,775.00, 313,161.66 and 75,624.10

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Solution

The fourth proportional to 208,775.00, 313,161.66 and 75,624.10 is: 113,435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,775.00 : 313,161.66 = 75,624.10 : x
  2. Step 2: Convert to fraction form
    208,775.00/313,161.66 = 75,624.10/x
  3. Step 3: Cross multiply
    208,775.00x = 313,161.66 × 75,624.10
  4. Step 4: Simplify right side
    208,775.00x = 23,682,567,909.10
  5. Step 5: Solve for x
    x = 23,682,567,909.10/208,775.00
  6. Step 6: Final answer
    x = 113,435.84

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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.