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Finding the Fourth Proportional to 232,601.72, 320,966.39 and 130,638.30

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Solution

The fourth proportional to 232,601.72, 320,966.39 and 130,638.30 is: 180,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,601.72 : 320,966.39 = 130,638.30 : x
  2. Step 2: Convert to fraction form
    232,601.72/320,966.39 = 130,638.30/x
  3. Step 3: Cross multiply
    232,601.72x = 320,966.39 × 130,638.30
  4. Step 4: Simplify right side
    232,601.72x = 41,930,502,893.55
  5. Step 5: Solve for x
    x = 41,930,502,893.55/232,601.72
  6. Step 6: Final answer
    x = 180,267.38

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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.