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Finding the Fourth Proportional to 207,364.83, 311,101.57 and 65,204.37

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Solution

The fourth proportional to 207,364.83, 311,101.57 and 65,204.37 is: 97,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364.83 : 311,101.57 = 65,204.37 : x
  2. Step 2: Convert to fraction form
    207,364.83/311,101.57 = 65,204.37/x
  3. Step 3: Cross multiply
    207,364.83x = 311,101.57 × 65,204.37
  4. Step 4: Simplify right side
    207,364.83x = 20,285,181,877.86
  5. Step 5: Solve for x
    x = 20,285,181,877.86/207,364.83
  6. Step 6: Final answer
    x = 97,823.64

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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.