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Finding the Fourth Proportional to 320,154.34, 441,813.15 and 176,914.38

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Solution

The fourth proportional to 320,154.34, 441,813.15 and 176,914.38 is: 244,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,154.34 : 441,813.15 = 176,914.38 : x
  2. Step 2: Convert to fraction form
    320,154.34/441,813.15 = 176,914.38/x
  3. Step 3: Cross multiply
    320,154.34x = 441,813.15 × 176,914.38
  4. Step 4: Simplify right side
    320,154.34x = 78,163,100,722.61
  5. Step 5: Solve for x
    x = 78,163,100,722.61/320,154.34
  6. Step 6: Final answer
    x = 244,141.94

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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.