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Finding the Fourth Proportional to 114,877.86, 172,344.30 and 55,644.30

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Solution

The fourth proportional to 114,877.86, 172,344.30 and 55,644.30 is: 83,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,877.86 : 172,344.30 = 55,644.30 : x
  2. Step 2: Convert to fraction form
    114,877.86/172,344.30 = 55,644.30/x
  3. Step 3: Cross multiply
    114,877.86x = 172,344.30 × 55,644.30
  4. Step 4: Simplify right side
    114,877.86x = 9,589,977,932.49
  5. Step 5: Solve for x
    x = 9,589,977,932.49/114,877.86
  6. Step 6: Final answer
    x = 83,479.78

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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.