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Finding the Fourth Proportional to 147,897.52, 204,098.64 and 80,829.52

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Solution

The fourth proportional to 147,897.52, 204,098.64 and 80,829.52 is: 111,544.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,897.52 : 204,098.64 = 80,829.52 : x
  2. Step 2: Convert to fraction form
    147,897.52/204,098.64 = 80,829.52/x
  3. Step 3: Cross multiply
    147,897.52x = 204,098.64 × 80,829.52
  4. Step 4: Simplify right side
    147,897.52x = 16,497,195,103.85
  5. Step 5: Solve for x
    x = 16,497,195,103.85/147,897.52
  6. Step 6: Final answer
    x = 111,544.77

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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.