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Finding the Fourth Proportional to 402,257.24, 603,385.25 and 102,737.73

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Solution

The fourth proportional to 402,257.24, 603,385.25 and 102,737.73 is: 154,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,257.24 : 603,385.25 = 102,737.73 : x
  2. Step 2: Convert to fraction form
    402,257.24/603,385.25 = 102,737.73/x
  3. Step 3: Cross multiply
    402,257.24x = 603,385.25 × 102,737.73
  4. Step 4: Simplify right side
    402,257.24x = 61,990,430,386.79
  5. Step 5: Solve for x
    x = 61,990,430,386.79/402,257.24
  6. Step 6: Final answer
    x = 154,106.44

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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.