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Finding the Fourth Proportional to 159,201.80, 219,696.14 and 87,577.56

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Solution

The fourth proportional to 159,201.80, 219,696.14 and 87,577.56 is: 120,855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,201.80 : 219,696.14 = 87,577.56 : x
  2. Step 2: Convert to fraction form
    159,201.80/219,696.14 = 87,577.56/x
  3. Step 3: Cross multiply
    159,201.80x = 219,696.14 × 87,577.56
  4. Step 4: Simplify right side
    159,201.80x = 19,240,451,882.62
  5. Step 5: Solve for x
    x = 19,240,451,882.62/159,201.80
  6. Step 6: Final answer
    x = 120,855.74

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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.