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Finding the Fourth Proportional to 214,902.60, 322,353.90 and 121,590.60

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Solution

The fourth proportional to 214,902.60, 322,353.90 and 121,590.60 is: 182,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,902.60 : 322,353.90 = 121,590.60 : x
  2. Step 2: Convert to fraction form
    214,902.60/322,353.90 = 121,590.60/x
  3. Step 3: Cross multiply
    214,902.60x = 322,353.90 × 121,590.60
  4. Step 4: Simplify right side
    214,902.60x = 39,195,204,113.34
  5. Step 5: Solve for x
    x = 39,195,204,113.34/214,902.60
  6. Step 6: Final answer
    x = 182,385.90

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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.