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Finding the Fourth Proportional to 253,405.50, 380,108.23 and 116,614.79

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Solution

The fourth proportional to 253,405.50, 380,108.23 and 116,614.79 is: 174,922.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,405.50 : 380,108.23 = 116,614.79 : x
  2. Step 2: Convert to fraction form
    253,405.50/380,108.23 = 116,614.79/x
  3. Step 3: Cross multiply
    253,405.50x = 380,108.23 × 116,614.79
  4. Step 4: Simplify right side
    253,405.50x = 44,326,241,418.72
  5. Step 5: Solve for x
    x = 44,326,241,418.72/253,405.50
  6. Step 6: Final answer
    x = 174,922.18

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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.