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Finding the Fourth Proportional to 157,441.58, 217,265.06 and 85,823

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Solution

The fourth proportional to 157,441.58, 217,265.06 and 85,823 is: 118,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,441.58 : 217,265.06 = 85,823 : x
  2. Step 2: Convert to fraction form
    157,441.58/217,265.06 = 85,823/x
  3. Step 3: Cross multiply
    157,441.58x = 217,265.06 × 85,823
  4. Step 4: Simplify right side
    157,441.58x = 18,646,339,244.38
  5. Step 5: Solve for x
    x = 18,646,339,244.38/157,441.58
  6. Step 6: Final answer
    x = 118,433.38

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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.