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Finding the Fourth Proportional to 172,838.59, 259,295.94 and 52,896.46

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Solution

The fourth proportional to 172,838.59, 259,295.94 and 52,896.46 is: 79,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,838.59 : 259,295.94 = 52,896.46 : x
  2. Step 2: Convert to fraction form
    172,838.59/259,295.94 = 52,896.46/x
  3. Step 3: Cross multiply
    172,838.59x = 259,295.94 × 52,896.46
  4. Step 4: Simplify right side
    172,838.59x = 13,715,837,318.37
  5. Step 5: Solve for x
    x = 13,715,837,318.37/172,838.59
  6. Step 6: Final answer
    x = 79,356.34

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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.