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Finding the Fourth Proportional to 402,521.92, 603,745.86 and 136,252

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Solution

The fourth proportional to 402,521.92, 603,745.86 and 136,252 is: 204,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,521.92 : 603,745.86 = 136,252 : x
  2. Step 2: Convert to fraction form
    402,521.92/603,745.86 = 136,252/x
  3. Step 3: Cross multiply
    402,521.92x = 603,745.86 × 136,252
  4. Step 4: Simplify right side
    402,521.92x = 82,261,580,916.72
  5. Step 5: Solve for x
    x = 82,261,580,916.72/402,521.92
  6. Step 6: Final answer
    x = 204,365.47

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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.