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Finding the Fourth Proportional to 214,341.76, 321,402.48 and 125,769.88

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Solution

The fourth proportional to 214,341.76, 321,402.48 and 125,769.88 is: 188,590.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,341.76 : 321,402.48 = 125,769.88 : x
  2. Step 2: Convert to fraction form
    214,341.76/321,402.48 = 125,769.88/x
  3. Step 3: Cross multiply
    214,341.76x = 321,402.48 × 125,769.88
  4. Step 4: Simplify right side
    214,341.76x = 40,422,751,341.30
  5. Step 5: Solve for x
    x = 40,422,751,341.30/214,341.76
  6. Step 6: Final answer
    x = 188,590.18

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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.