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Finding the Fourth Proportional to 285,157.26, 393,535.35 and 164,296.38

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Solution

The fourth proportional to 285,157.26, 393,535.35 and 164,296.38 is: 226,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,157.26 : 393,535.35 = 164,296.38 : x
  2. Step 2: Convert to fraction form
    285,157.26/393,535.35 = 164,296.38/x
  3. Step 3: Cross multiply
    285,157.26x = 393,535.35 × 164,296.38
  4. Step 4: Simplify right side
    285,157.26x = 64,656,433,407.03
  5. Step 5: Solve for x
    x = 64,656,433,407.03/285,157.26
  6. Step 6: Final answer
    x = 226,739.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.