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Finding the Fourth Proportional to 209,917.20, 314,875.80 and 76,801.80

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Solution

The fourth proportional to 209,917.20, 314,875.80 and 76,801.80 is: 115,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,917.20 : 314,875.80 = 76,801.80 : x
  2. Step 2: Convert to fraction form
    209,917.20/314,875.80 = 76,801.80/x
  3. Step 3: Cross multiply
    209,917.20x = 314,875.80 × 76,801.80
  4. Step 4: Simplify right side
    209,917.20x = 24,183,028,216.44
  5. Step 5: Solve for x
    x = 24,183,028,216.44/209,917.20
  6. Step 6: Final answer
    x = 115,202.70

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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.