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Finding the Fourth Proportional to 201,472.32, 302,274.24 and 96,299.52

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Solution

The fourth proportional to 201,472.32, 302,274.24 and 96,299.52 is: 144,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,472.32 : 302,274.24 = 96,299.52 : x
  2. Step 2: Convert to fraction form
    201,472.32/302,274.24 = 96,299.52/x
  3. Step 3: Cross multiply
    201,472.32x = 302,274.24 × 96,299.52
  4. Step 4: Simplify right side
    201,472.32x = 29,108,864,220.36
  5. Step 5: Solve for x
    x = 29,108,864,220.36/201,472.32
  6. Step 6: Final answer
    x = 144,480.71

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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.