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Finding the Fourth Proportional to 252,077.57, 377,910.94 and 117,226.72

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Solution

The fourth proportional to 252,077.57, 377,910.94 and 117,226.72 is: 175,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,077.57 : 377,910.94 = 117,226.72 : x
  2. Step 2: Convert to fraction form
    252,077.57/377,910.94 = 117,226.72/x
  3. Step 3: Cross multiply
    252,077.57x = 377,910.94 × 117,226.72
  4. Step 4: Simplify right side
    252,077.57x = 44,301,259,614.26
  5. Step 5: Solve for x
    x = 44,301,259,614.26/252,077.57
  6. Step 6: Final answer
    x = 175,744.55

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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.