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Finding the Fourth Proportional to 214,209.90, 321,007.65 and 157,608.30

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Solution

The fourth proportional to 214,209.90, 321,007.65 and 157,608.30 is: 236,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,209.90 : 321,007.65 = 157,608.30 : x
  2. Step 2: Convert to fraction form
    214,209.90/321,007.65 = 157,608.30/x
  3. Step 3: Cross multiply
    214,209.90x = 321,007.65 × 157,608.30
  4. Step 4: Simplify right side
    214,209.90x = 50,593,470,003.50
  5. Step 5: Solve for x
    x = 50,593,470,003.50/214,209.90
  6. Step 6: Final answer
    x = 236,186.42

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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.