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Finding the Fourth Proportional to 223,910.54, 308,670.10 and 170,102.14

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Solution

The fourth proportional to 223,910.54, 308,670.10 and 170,102.14 is: 234,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,910.54 : 308,670.10 = 170,102.14 : x
  2. Step 2: Convert to fraction form
    223,910.54/308,670.10 = 170,102.14/x
  3. Step 3: Cross multiply
    223,910.54x = 308,670.10 × 170,102.14
  4. Step 4: Simplify right side
    223,910.54x = 52,505,444,564.01
  5. Step 5: Solve for x
    x = 52,505,444,564.01/223,910.54
  6. Step 6: Final answer
    x = 234,492.96

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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.