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Finding the Fourth Proportional to 214,090.34, 321,142.80 and 101,712.56

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Solution

The fourth proportional to 214,090.34, 321,142.80 and 101,712.56 is: 152,572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,090.34 : 321,142.80 = 101,712.56 : x
  2. Step 2: Convert to fraction form
    214,090.34/321,142.80 = 101,712.56/x
  3. Step 3: Cross multiply
    214,090.34x = 321,142.80 × 101,712.56
  4. Step 4: Simplify right side
    214,090.34x = 32,664,256,313.57
  5. Step 5: Solve for x
    x = 32,664,256,313.57/214,090.34
  6. Step 6: Final answer
    x = 152,572.30

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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.