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Finding the Fourth Proportional to 172,942.96, 259,273.54 and 116,075.52

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Solution

The fourth proportional to 172,942.96, 259,273.54 and 116,075.52 is: 174,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,942.96 : 259,273.54 = 116,075.52 : x
  2. Step 2: Convert to fraction form
    172,942.96/259,273.54 = 116,075.52/x
  3. Step 3: Cross multiply
    172,942.96x = 259,273.54 × 116,075.52
  4. Step 4: Simplify right side
    172,942.96x = 30,095,310,977.74
  5. Step 5: Solve for x
    x = 30,095,310,977.74/172,942.96
  6. Step 6: Final answer
    x = 174,018.71

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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.