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Finding the Fourth Proportional to 236,212, 325,972.56 and 130,228

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Solution

The fourth proportional to 236,212, 325,972.56 and 130,228 is: 179,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,212 : 325,972.56 = 130,228 : x
  2. Step 2: Convert to fraction form
    236,212/325,972.56 = 130,228/x
  3. Step 3: Cross multiply
    236,212x = 325,972.56 × 130,228
  4. Step 4: Simplify right side
    236,212x = 42,450,754,543.68
  5. Step 5: Solve for x
    x = 42,450,754,543.68/236,212
  6. Step 6: Final answer
    x = 179,714.64

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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.