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Finding the Fourth Proportional to 236,214, 325,975.32 and 130,230

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Solution

The fourth proportional to 236,214, 325,975.32 and 130,230 is: 179,717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,214 : 325,975.32 = 130,230 : x
  2. Step 2: Convert to fraction form
    236,214/325,975.32 = 130,230/x
  3. Step 3: Cross multiply
    236,214x = 325,975.32 × 130,230
  4. Step 4: Simplify right side
    236,214x = 42,451,765,923.60
  5. Step 5: Solve for x
    x = 42,451,765,923.60/236,214
  6. Step 6: Final answer
    x = 179,717.40

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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.