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Finding the Fourth Proportional to 214,131.90, 320,890.65 and 157,530.30

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Solution

The fourth proportional to 214,131.90, 320,890.65 and 157,530.30 is: 236,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,131.90 : 320,890.65 = 157,530.30 : x
  2. Step 2: Convert to fraction form
    214,131.90/320,890.65 = 157,530.30/x
  3. Step 3: Cross multiply
    214,131.90x = 320,890.65 × 157,530.30
  4. Step 4: Simplify right side
    214,131.90x = 50,550,000,361.70
  5. Step 5: Solve for x
    x = 50,550,000,361.70/214,131.90
  6. Step 6: Final answer
    x = 236,069.45

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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.