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Finding the Fourth Proportional to 201,676.68, 302,564.88 and 83,381.76

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Solution

The fourth proportional to 201,676.68, 302,564.88 and 83,381.76 is: 125,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,676.68 : 302,564.88 = 83,381.76 : x
  2. Step 2: Convert to fraction form
    201,676.68/302,564.88 = 83,381.76/x
  3. Step 3: Cross multiply
    201,676.68x = 302,564.88 × 83,381.76
  4. Step 4: Simplify right side
    201,676.68x = 25,228,392,208.59
  5. Step 5: Solve for x
    x = 25,228,392,208.59/201,676.68
  6. Step 6: Final answer
    x = 125,093.25

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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.