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Finding the Fourth Proportional to 159,157, 219,638.50 and 87,538.20

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Solution

The fourth proportional to 159,157, 219,638.50 and 87,538.20 is: 120,803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,157 : 219,638.50 = 87,538.20 : x
  2. Step 2: Convert to fraction form
    159,157/219,638.50 = 87,538.20/x
  3. Step 3: Cross multiply
    159,157x = 219,638.50 × 87,538.20
  4. Step 4: Simplify right side
    159,157x = 19,226,758,940.70
  5. Step 5: Solve for x
    x = 19,226,758,940.70/159,157
  6. Step 6: Final answer
    x = 120,803.73

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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.