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Finding the Fourth Proportional to 273,196.41, 377,011.05 and 160,019.16

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Solution

The fourth proportional to 273,196.41, 377,011.05 and 160,019.16 is: 220,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,196.41 : 377,011.05 = 160,019.16 : x
  2. Step 2: Convert to fraction form
    273,196.41/377,011.05 = 160,019.16/x
  3. Step 3: Cross multiply
    273,196.41x = 377,011.05 × 160,019.16
  4. Step 4: Simplify right side
    273,196.41x = 60,328,989,517.85
  5. Step 5: Solve for x
    x = 60,328,989,517.85/273,196.41
  6. Step 6: Final answer
    x = 220,826.44

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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.