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Finding the Fourth Proportional to 214,077.48, 321,116.22 and 89,331

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Solution

The fourth proportional to 214,077.48, 321,116.22 and 89,331 is: 133,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,077.48 : 321,116.22 = 89,331 : x
  2. Step 2: Convert to fraction form
    214,077.48/321,116.22 = 89,331/x
  3. Step 3: Cross multiply
    214,077.48x = 321,116.22 × 89,331
  4. Step 4: Simplify right side
    214,077.48x = 28,685,633,048.82
  5. Step 5: Solve for x
    x = 28,685,633,048.82/214,077.48
  6. Step 6: Final answer
    x = 133,996.50

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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.