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Finding the Fourth Proportional to 218,693.48, 301,819.30 and 133,866.60

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Solution

The fourth proportional to 218,693.48, 301,819.30 and 133,866.60 is: 184,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,693.48 : 301,819.30 = 133,866.60 : x
  2. Step 2: Convert to fraction form
    218,693.48/301,819.30 = 133,866.60/x
  3. Step 3: Cross multiply
    218,693.48x = 301,819.30 × 133,866.60
  4. Step 4: Simplify right side
    218,693.48x = 40,403,523,505.38
  5. Step 5: Solve for x
    x = 40,403,523,505.38/218,693.48
  6. Step 6: Final answer
    x = 184,749.56

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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.