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Finding the Fourth Proportional to 207,935.60, 311,749.80 and 83,212.40

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Solution

The fourth proportional to 207,935.60, 311,749.80 and 83,212.40 is: 124,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,935.60 : 311,749.80 = 83,212.40 : x
  2. Step 2: Convert to fraction form
    207,935.60/311,749.80 = 83,212.40/x
  3. Step 3: Cross multiply
    207,935.60x = 311,749.80 × 83,212.40
  4. Step 4: Simplify right side
    207,935.60x = 25,941,449,057.52
  5. Step 5: Solve for x
    x = 25,941,449,057.52/207,935.60
  6. Step 6: Final answer
    x = 124,757.13

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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.