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Finding the Fourth Proportional to 213,602.50, 320,425.68 and 80,594.69

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Solution

The fourth proportional to 213,602.50, 320,425.68 and 80,594.69 is: 120,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,602.50 : 320,425.68 = 80,594.69 : x
  2. Step 2: Convert to fraction form
    213,602.50/320,425.68 = 80,594.69/x
  3. Step 3: Cross multiply
    213,602.50x = 320,425.68 × 80,594.69
  4. Step 4: Simplify right side
    213,602.50x = 25,824,608,347.64
  5. Step 5: Solve for x
    x = 25,824,608,347.64/213,602.50
  6. Step 6: Final answer
    x = 120,900.31

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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.