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Finding the Fourth Proportional to 320,154.53, 441,813.41 and 176,914.57

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Solution

The fourth proportional to 320,154.53, 441,813.41 and 176,914.57 is: 244,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,154.53 : 441,813.41 = 176,914.57 : x
  2. Step 2: Convert to fraction form
    320,154.53/441,813.41 = 176,914.57/x
  3. Step 3: Cross multiply
    320,154.53x = 441,813.41 × 176,914.57
  4. Step 4: Simplify right side
    320,154.53x = 78,163,229,118.08
  5. Step 5: Solve for x
    x = 78,163,229,118.08/320,154.53
  6. Step 6: Final answer
    x = 244,142.19

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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.