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Finding the Fourth Proportional to 188,157.06, 259,778.34 and 116,613

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Solution

The fourth proportional to 188,157.06, 259,778.34 and 116,613 is: 161,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,157.06 : 259,778.34 = 116,613 : x
  2. Step 2: Convert to fraction form
    188,157.06/259,778.34 = 116,613/x
  3. Step 3: Cross multiply
    188,157.06x = 259,778.34 × 116,613
  4. Step 4: Simplify right side
    188,157.06x = 30,293,531,562.42
  5. Step 5: Solve for x
    x = 30,293,531,562.42/188,157.06
  6. Step 6: Final answer
    x = 161,001.30

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1.5x scale

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.