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Finding the Fourth Proportional to 208,231.56, 312,020.28 and 160,962.48

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Solution

The fourth proportional to 208,231.56, 312,020.28 and 160,962.48 is: 241,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,231.56 : 312,020.28 = 160,962.48 : x
  2. Step 2: Convert to fraction form
    208,231.56/312,020.28 = 160,962.48/x
  3. Step 3: Cross multiply
    208,231.56x = 312,020.28 × 160,962.48
  4. Step 4: Simplify right side
    208,231.56x = 50,223,558,079.09
  5. Step 5: Solve for x
    x = 50,223,558,079.09/208,231.56
  6. Step 6: Final answer
    x = 241,190.90

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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.