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Finding the Fourth Proportional to 157,831, 217,805.49 and 86,211.04

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Solution

The fourth proportional to 157,831, 217,805.49 and 86,211.04 is: 118,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,831 : 217,805.49 = 86,211.04 : x
  2. Step 2: Convert to fraction form
    157,831/217,805.49 = 86,211.04/x
  3. Step 3: Cross multiply
    157,831x = 217,805.49 × 86,211.04
  4. Step 4: Simplify right side
    157,831x = 18,777,237,810.61
  5. Step 5: Solve for x
    x = 18,777,237,810.61/157,831
  6. Step 6: Final answer
    x = 118,970.53

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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.