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Finding the Fourth Proportional to 214,101.90, 320,845.65 and 157,500.30

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Solution

The fourth proportional to 214,101.90, 320,845.65 and 157,500.30 is: 236,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,101.90 : 320,845.65 = 157,500.30 : x
  2. Step 2: Convert to fraction form
    214,101.90/320,845.65 = 157,500.30/x
  3. Step 3: Cross multiply
    214,101.90x = 320,845.65 × 157,500.30
  4. Step 4: Simplify right side
    214,101.90x = 50,533,286,128.70
  5. Step 5: Solve for x
    x = 50,533,286,128.70/214,101.90
  6. Step 6: Final answer
    x = 236,024.46

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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.