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Finding the Fourth Proportional to 169,893.28, 254,805.90 and 161,462.80

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Solution

The fourth proportional to 169,893.28, 254,805.90 and 161,462.80 is: 242,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,893.28 : 254,805.90 = 161,462.80 : x
  2. Step 2: Convert to fraction form
    169,893.28/254,805.90 = 161,462.80/x
  3. Step 3: Cross multiply
    169,893.28x = 254,805.90 × 161,462.80
  4. Step 4: Simplify right side
    169,893.28x = 41,141,674,070.52
  5. Step 5: Solve for x
    x = 41,141,674,070.52/169,893.28
  6. Step 6: Final answer
    x = 242,161.87

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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.