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Finding the Fourth Proportional to 207,783.90, 311,693.54 and 65,591.14

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Solution

The fourth proportional to 207,783.90, 311,693.54 and 65,591.14 is: 98,392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,783.90 : 311,693.54 = 65,591.14 : x
  2. Step 2: Convert to fraction form
    207,783.90/311,693.54 = 65,591.14/x
  3. Step 3: Cross multiply
    207,783.90x = 311,693.54 × 65,591.14
  4. Step 4: Simplify right side
    207,783.90x = 20,444,333,512.05
  5. Step 5: Solve for x
    x = 20,444,333,512.05/207,783.90
  6. Step 6: Final answer
    x = 98,392.29

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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.