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Finding the Fourth Proportional to 237,212.98, 327,358.64 and 129,785.32

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Solution

The fourth proportional to 237,212.98, 327,358.64 and 129,785.32 is: 179,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,212.98 : 327,358.64 = 129,785.32 : x
  2. Step 2: Convert to fraction form
    237,212.98/327,358.64 = 129,785.32/x
  3. Step 3: Cross multiply
    237,212.98x = 327,358.64 × 129,785.32
  4. Step 4: Simplify right side
    237,212.98x = 42,486,345,847.16
  5. Step 5: Solve for x
    x = 42,486,345,847.16/237,212.98
  6. Step 6: Final answer
    x = 179,106.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.