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Finding the Fourth Proportional to 209,984.70, 314,977.05 and 76,820.70

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Solution

The fourth proportional to 209,984.70, 314,977.05 and 76,820.70 is: 115,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,984.70 : 314,977.05 = 76,820.70 : x
  2. Step 2: Convert to fraction form
    209,984.70/314,977.05 = 76,820.70/x
  3. Step 3: Cross multiply
    209,984.70x = 314,977.05 × 76,820.70
  4. Step 4: Simplify right side
    209,984.70x = 24,196,757,464.94
  5. Step 5: Solve for x
    x = 24,196,757,464.94/209,984.70
  6. Step 6: Final answer
    x = 115,231.05

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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.