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Finding the Fourth Proportional to 159,196.38, 219,511.63 and 122,815.02

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Solution

The fourth proportional to 159,196.38, 219,511.63 and 122,815.02 is: 169,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,196.38 : 219,511.63 = 122,815.02 : x
  2. Step 2: Convert to fraction form
    159,196.38/219,511.63 = 122,815.02/x
  3. Step 3: Cross multiply
    159,196.38x = 219,511.63 × 122,815.02
  4. Step 4: Simplify right side
    159,196.38x = 26,959,325,228.68
  5. Step 5: Solve for x
    x = 26,959,325,228.68/159,196.38
  6. Step 6: Final answer
    x = 169,346.35

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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.