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Finding the Fourth Proportional to 157,857.26, 217,846.23 and 86,241.92

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Solution

The fourth proportional to 157,857.26, 217,846.23 and 86,241.92 is: 119,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,857.26 : 217,846.23 = 86,241.92 : x
  2. Step 2: Convert to fraction form
    157,857.26/217,846.23 = 86,241.92/x
  3. Step 3: Cross multiply
    157,857.26x = 217,846.23 × 86,241.92
  4. Step 4: Simplify right side
    157,857.26x = 18,787,477,139.96
  5. Step 5: Solve for x
    x = 18,787,477,139.96/157,857.26
  6. Step 6: Final answer
    x = 119,015.60

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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.