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Finding the Fourth Proportional to 209,970.75, 314,987.85 and 67,768.50

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Solution

The fourth proportional to 209,970.75, 314,987.85 and 67,768.50 is: 101,662.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,970.75 : 314,987.85 = 67,768.50 : x
  2. Step 2: Convert to fraction form
    209,970.75/314,987.85 = 67,768.50/x
  3. Step 3: Cross multiply
    209,970.75x = 314,987.85 × 67,768.50
  4. Step 4: Simplify right side
    209,970.75x = 21,346,254,112.73
  5. Step 5: Solve for x
    x = 21,346,254,112.73/209,970.75
  6. Step 6: Final answer
    x = 101,662.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.