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Finding the Fourth Proportional to 320,813.74, 481,123.41 and 133,781.50

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Solution

The fourth proportional to 320,813.74, 481,123.41 and 133,781.50 is: 200,631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,813.74 : 481,123.41 = 133,781.50 : x
  2. Step 2: Convert to fraction form
    320,813.74/481,123.41 = 133,781.50/x
  3. Step 3: Cross multiply
    320,813.74x = 481,123.41 × 133,781.50
  4. Step 4: Simplify right side
    320,813.74x = 64,365,411,474.92
  5. Step 5: Solve for x
    x = 64,365,411,474.92/320,813.74
  6. Step 6: Final answer
    x = 200,631.72

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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.