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Finding the Fourth Proportional to 157,906.18, 217,911.10 and 86,286.20

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Solution

The fourth proportional to 157,906.18, 217,911.10 and 86,286.20 is: 119,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,906.18 : 217,911.10 = 86,286.20 : x
  2. Step 2: Convert to fraction form
    157,906.18/217,911.10 = 86,286.20/x
  3. Step 3: Cross multiply
    157,906.18x = 217,911.10 × 86,286.20
  4. Step 4: Simplify right side
    157,906.18x = 18,802,721,085.88
  5. Step 5: Solve for x
    x = 18,802,721,085.88/157,906.18
  6. Step 6: Final answer
    x = 119,075.27

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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.