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Finding the Fourth Proportional to 213,898.40, 320,156.40 and 166,896.80

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Solution

The fourth proportional to 213,898.40, 320,156.40 and 166,896.80 is: 249,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,898.40 : 320,156.40 = 166,896.80 : x
  2. Step 2: Convert to fraction form
    213,898.40/320,156.40 = 166,896.80/x
  3. Step 3: Cross multiply
    213,898.40x = 320,156.40 × 166,896.80
  4. Step 4: Simplify right side
    213,898.40x = 53,433,078,659.52
  5. Step 5: Solve for x
    x = 53,433,078,659.52/213,898.40
  6. Step 6: Final answer
    x = 249,805.88

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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.