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Finding the Fourth Proportional to 207,763.92, 311,421.24 and 82,967.76

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Solution

The fourth proportional to 207,763.92, 311,421.24 and 82,967.76 is: 124,361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,763.92 : 311,421.24 = 82,967.76 : x
  2. Step 2: Convert to fraction form
    207,763.92/311,421.24 = 82,967.76/x
  3. Step 3: Cross multiply
    207,763.92x = 311,421.24 × 82,967.76
  4. Step 4: Simplify right side
    207,763.92x = 25,837,922,699.22
  5. Step 5: Solve for x
    x = 25,837,922,699.22/207,763.92
  6. Step 6: Final answer
    x = 124,361.93

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1.5x scale

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.