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Finding the Fourth Proportional to 273,195.09, 377,009.24 and 160,017.84

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Solution

The fourth proportional to 273,195.09, 377,009.24 and 160,017.84 is: 220,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,195.09 : 377,009.24 = 160,017.84 : x
  2. Step 2: Convert to fraction form
    273,195.09/377,009.24 = 160,017.84/x
  3. Step 3: Cross multiply
    273,195.09x = 377,009.24 × 160,017.84
  4. Step 4: Simplify right side
    273,195.09x = 60,328,203,444.75
  5. Step 5: Solve for x
    x = 60,328,203,444.75/273,195.09
  6. Step 6: Final answer
    x = 220,824.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.