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Finding the Fourth Proportional to 214,789.22, 296,400.89 and 119,302.01

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Solution

The fourth proportional to 214,789.22, 296,400.89 and 119,302.01 is: 164,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,789.22 : 296,400.89 = 119,302.01 : x
  2. Step 2: Convert to fraction form
    214,789.22/296,400.89 = 119,302.01/x
  3. Step 3: Cross multiply
    214,789.22x = 296,400.89 × 119,302.01
  4. Step 4: Simplify right side
    214,789.22x = 35,361,221,346.28
  5. Step 5: Solve for x
    x = 35,361,221,346.28/214,789.22
  6. Step 6: Final answer
    x = 164,632.20

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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.