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Finding the Fourth Proportional to 213,482.39, 320,276.12 and 150,425.64

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Solution

The fourth proportional to 213,482.39, 320,276.12 and 150,425.64 is: 225,675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,482.39 : 320,276.12 = 150,425.64 : x
  2. Step 2: Convert to fraction form
    213,482.39/320,276.12 = 150,425.64/x
  3. Step 3: Cross multiply
    213,482.39x = 320,276.12 × 150,425.64
  4. Step 4: Simplify right side
    213,482.39x = 48,177,739,575.59
  5. Step 5: Solve for x
    x = 48,177,739,575.59/213,482.39
  6. Step 6: Final answer
    x = 225,675.48

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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.