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Finding the Fourth Proportional to 204,805.94, 282,685.65 and 133,381.94

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Solution

The fourth proportional to 204,805.94, 282,685.65 and 133,381.94 is: 184,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,805.94 : 282,685.65 = 133,381.94 : x
  2. Step 2: Convert to fraction form
    204,805.94/282,685.65 = 133,381.94/x
  3. Step 3: Cross multiply
    204,805.94x = 282,685.65 × 133,381.94
  4. Step 4: Simplify right side
    204,805.94x = 37,705,160,407.16
  5. Step 5: Solve for x
    x = 37,705,160,407.16/204,805.94
  6. Step 6: Final answer
    x = 184,101.89

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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.