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Finding the Fourth Proportional to 164,863.92, 247,328.70 and 52,540.50

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Solution

The fourth proportional to 164,863.92, 247,328.70 and 52,540.50 is: 78,821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,863.92 : 247,328.70 = 52,540.50 : x
  2. Step 2: Convert to fraction form
    164,863.92/247,328.70 = 52,540.50/x
  3. Step 3: Cross multiply
    164,863.92x = 247,328.70 × 52,540.50
  4. Step 4: Simplify right side
    164,863.92x = 12,994,773,562.35
  5. Step 5: Solve for x
    x = 12,994,773,562.35/164,863.92
  6. Step 6: Final answer
    x = 78,821.21

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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.