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Finding the Fourth Proportional to 180,893.52, 271,136.16 and 87,289.92

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Solution

The fourth proportional to 180,893.52, 271,136.16 and 87,289.92 is: 130,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,893.52 : 271,136.16 = 87,289.92 : x
  2. Step 2: Convert to fraction form
    180,893.52/271,136.16 = 87,289.92/x
  3. Step 3: Cross multiply
    180,893.52x = 271,136.16 × 87,289.92
  4. Step 4: Simplify right side
    180,893.52x = 23,667,453,715.51
  5. Step 5: Solve for x
    x = 23,667,453,715.51/180,893.52
  6. Step 6: Final answer
    x = 130,836.38

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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.