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Finding the Fourth Proportional to 201,387.84, 302,092.90 and 66,446.58

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Solution

The fourth proportional to 201,387.84, 302,092.90 and 66,446.58 is: 99,673.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,387.84 : 302,092.90 = 66,446.58 : x
  2. Step 2: Convert to fraction form
    201,387.84/302,092.90 = 66,446.58/x
  3. Step 3: Cross multiply
    201,387.84x = 302,092.90 × 66,446.58
  4. Step 4: Simplify right side
    201,387.84x = 20,073,040,047.28
  5. Step 5: Solve for x
    x = 20,073,040,047.28/201,387.84
  6. Step 6: Final answer
    x = 99,673.55

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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.