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Finding the Fourth Proportional to 218,914.90, 302,102.92 and 123,421.34

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Solution

The fourth proportional to 218,914.90, 302,102.92 and 123,421.34 is: 170,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,914.90 : 302,102.92 = 123,421.34 : x
  2. Step 2: Convert to fraction form
    218,914.90/302,102.92 = 123,421.34/x
  3. Step 3: Cross multiply
    218,914.90x = 302,102.92 × 123,421.34
  4. Step 4: Simplify right side
    218,914.90x = 37,285,947,204.31
  5. Step 5: Solve for x
    x = 37,285,947,204.31/218,914.90
  6. Step 6: Final answer
    x = 170,321.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.