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Finding the Fourth Proportional to 213,859.40, 320,097.90 and 166,857.80

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Solution

The fourth proportional to 213,859.40, 320,097.90 and 166,857.80 is: 249,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,859.40 : 320,097.90 = 166,857.80 : x
  2. Step 2: Convert to fraction form
    213,859.40/320,097.90 = 166,857.80/x
  3. Step 3: Cross multiply
    213,859.40x = 320,097.90 × 166,857.80
  4. Step 4: Simplify right side
    213,859.40x = 53,410,831,378.62
  5. Step 5: Solve for x
    x = 53,410,831,378.62/213,859.40
  6. Step 6: Final answer
    x = 249,747.41

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1.5x scale

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.