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Finding the Fourth Proportional to 176,012.58, 264,018.87 and 106,028.58

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Solution

The fourth proportional to 176,012.58, 264,018.87 and 106,028.58 is: 159,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,012.58 : 264,018.87 = 106,028.58 : x
  2. Step 2: Convert to fraction form
    176,012.58/264,018.87 = 106,028.58/x
  3. Step 3: Cross multiply
    176,012.58x = 264,018.87 × 106,028.58
  4. Step 4: Simplify right side
    176,012.58x = 27,993,544,029.07
  5. Step 5: Solve for x
    x = 27,993,544,029.07/176,012.58
  6. Step 6: Final answer
    x = 159,042.86

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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.