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Finding the Fourth Proportional to 157,832.42, 217,805.16 and 86,212.66

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Solution

The fourth proportional to 157,832.42, 217,805.16 and 86,212.66 is: 118,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,832.42 : 217,805.16 = 86,212.66 : x
  2. Step 2: Convert to fraction form
    157,832.42/217,805.16 = 86,212.66/x
  3. Step 3: Cross multiply
    157,832.42x = 217,805.16 × 86,212.66
  4. Step 4: Simplify right side
    157,832.42x = 18,777,562,205.33
  5. Step 5: Solve for x
    x = 18,777,562,205.33/157,832.42
  6. Step 6: Final answer
    x = 118,971.52

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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.