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Finding the Fourth Proportional to 214,256.40, 321,107.80 and 101,971.03

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Solution

The fourth proportional to 214,256.40, 321,107.80 and 101,971.03 is: 152,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,256.40 : 321,107.80 = 101,971.03 : x
  2. Step 2: Convert to fraction form
    214,256.40/321,107.80 = 101,971.03/x
  3. Step 3: Cross multiply
    214,256.40x = 321,107.80 × 101,971.03
  4. Step 4: Simplify right side
    214,256.40x = 32,743,692,597.18
  5. Step 5: Solve for x
    x = 32,743,692,597.18/214,256.40
  6. Step 6: Final answer
    x = 152,824.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.