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Finding the Fourth Proportional to 171,833.52, 257,649.84 and 65,224.56

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Solution

The fourth proportional to 171,833.52, 257,649.84 and 65,224.56 is: 97,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,833.52 : 257,649.84 = 65,224.56 : x
  2. Step 2: Convert to fraction form
    171,833.52/257,649.84 = 65,224.56/x
  3. Step 3: Cross multiply
    171,833.52x = 257,649.84 × 65,224.56
  4. Step 4: Simplify right side
    171,833.52x = 16,805,097,448.07
  5. Step 5: Solve for x
    x = 16,805,097,448.07/171,833.52
  6. Step 6: Final answer
    x = 97,798.71

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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.