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Finding the Fourth Proportional to 114,803.31, 172,205.24 and 35,917.68

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Solution

The fourth proportional to 114,803.31, 172,205.24 and 35,917.68 is: 53,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,803.31 : 172,205.24 = 35,917.68 : x
  2. Step 2: Convert to fraction form
    114,803.31/172,205.24 = 35,917.68/x
  3. Step 3: Cross multiply
    114,803.31x = 172,205.24 × 35,917.68
  4. Step 4: Simplify right side
    114,803.31x = 6,185,212,525.05
  5. Step 5: Solve for x
    x = 6,185,212,525.05/114,803.31
  6. Step 6: Final answer
    x = 53,876.60

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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.