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Finding the Fourth Proportional to 213,741.40, 320,189.70 and 187,475.80

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Solution

The fourth proportional to 213,741.40, 320,189.70 and 187,475.80 is: 280,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,741.40 : 320,189.70 = 187,475.80 : x
  2. Step 2: Convert to fraction form
    213,741.40/320,189.70 = 187,475.80/x
  3. Step 3: Cross multiply
    213,741.40x = 320,189.70 × 187,475.80
  4. Step 4: Simplify right side
    213,741.40x = 60,027,820,159.26
  5. Step 5: Solve for x
    x = 60,027,820,159.26/213,741.40
  6. Step 6: Final answer
    x = 280,843.21

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Why These Related Problems?

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