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Finding the Fourth Proportional to 159,028.38, 219,460.84 and 86,431.25

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Solution

The fourth proportional to 159,028.38, 219,460.84 and 86,431.25 is: 119,276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,028.38 : 219,460.84 = 86,431.25 : x
  2. Step 2: Convert to fraction form
    159,028.38/219,460.84 = 86,431.25/x
  3. Step 3: Cross multiply
    159,028.38x = 219,460.84 × 86,431.25
  4. Step 4: Simplify right side
    159,028.38x = 18,968,275,059.82
  5. Step 5: Solve for x
    x = 18,968,275,059.82/159,028.38
  6. Step 6: Final answer
    x = 119,276.04

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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.