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Finding the Fourth Proportional to 328,111.52, 492,167.30 and 106,495.52

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Solution

The fourth proportional to 328,111.52, 492,167.30 and 106,495.52 is: 159,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,111.52 : 492,167.30 = 106,495.52 : x
  2. Step 2: Convert to fraction form
    328,111.52/492,167.30 = 106,495.52/x
  3. Step 3: Cross multiply
    328,111.52x = 492,167.30 × 106,495.52
  4. Step 4: Simplify right side
    328,111.52x = 52,413,612,540.50
  5. Step 5: Solve for x
    x = 52,413,612,540.50/328,111.52
  6. Step 6: Final answer
    x = 159,743.29

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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.