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Finding the Fourth Proportional to 201,920.45, 302,885.54 and 96,623.69

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Solution

The fourth proportional to 201,920.45, 302,885.54 and 96,623.69 is: 144,937.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,920.45 : 302,885.54 = 96,623.69 : x
  2. Step 2: Convert to fraction form
    201,920.45/302,885.54 = 96,623.69/x
  3. Step 3: Cross multiply
    201,920.45x = 302,885.54 × 96,623.69
  4. Step 4: Simplify right side
    201,920.45x = 29,265,919,521.22
  5. Step 5: Solve for x
    x = 29,265,919,521.22/201,920.45
  6. Step 6: Final answer
    x = 144,937.87

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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.