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Finding the Fourth Proportional to 213,847.80, 320,426.10 and 134,820.60

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Solution

The fourth proportional to 213,847.80, 320,426.10 and 134,820.60 is: 202,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,847.80 : 320,426.10 = 134,820.60 : x
  2. Step 2: Convert to fraction form
    213,847.80/320,426.10 = 134,820.60/x
  3. Step 3: Cross multiply
    213,847.80x = 320,426.10 × 134,820.60
  4. Step 4: Simplify right side
    213,847.80x = 43,200,039,057.66
  5. Step 5: Solve for x
    x = 43,200,039,057.66/213,847.80
  6. Step 6: Final answer
    x = 202,013.02

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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.