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Finding the Fourth Proportional to 159,101.98, 219,608.17 and 104,696.10

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Solution

The fourth proportional to 159,101.98, 219,608.17 and 104,696.10 is: 144,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,101.98 : 219,608.17 = 104,696.10 : x
  2. Step 2: Convert to fraction form
    159,101.98/219,608.17 = 104,696.10/x
  3. Step 3: Cross multiply
    159,101.98x = 219,608.17 × 104,696.10
  4. Step 4: Simplify right side
    159,101.98x = 22,992,118,665.40
  5. Step 5: Solve for x
    x = 22,992,118,665.40/159,101.98
  6. Step 6: Final answer
    x = 144,511.83

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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.