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Finding the Fourth Proportional to 157,145.96, 216,857.28 and 85,524.44

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Solution

The fourth proportional to 157,145.96, 216,857.28 and 85,524.44 is: 118,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,145.96 : 216,857.28 = 85,524.44 : x
  2. Step 2: Convert to fraction form
    157,145.96/216,857.28 = 85,524.44/x
  3. Step 3: Cross multiply
    157,145.96x = 216,857.28 × 85,524.44
  4. Step 4: Simplify right side
    157,145.96x = 18,546,597,431.92
  5. Step 5: Solve for x
    x = 18,546,597,431.92/157,145.96
  6. Step 6: Final answer
    x = 118,021.47

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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.