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Finding the Fourth Proportional to 172,941.58, 259,574.10 and 106,511.32

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Solution

The fourth proportional to 172,941.58, 259,574.10 and 106,511.32 is: 159,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,941.58 : 259,574.10 = 106,511.32 : x
  2. Step 2: Convert to fraction form
    172,941.58/259,574.10 = 106,511.32/x
  3. Step 3: Cross multiply
    172,941.58x = 259,574.10 × 106,511.32
  4. Step 4: Simplify right side
    172,941.58x = 27,647,580,028.81
  5. Step 5: Solve for x
    x = 27,647,580,028.81/172,941.58
  6. Step 6: Final answer
    x = 159,866.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.