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Finding the Fourth Proportional to 164,432.76, 246,692.88 and 52,116

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Solution

The fourth proportional to 164,432.76, 246,692.88 and 52,116 is: 78,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,432.76 : 246,692.88 = 52,116 : x
  2. Step 2: Convert to fraction form
    164,432.76/246,692.88 = 52,116/x
  3. Step 3: Cross multiply
    164,432.76x = 246,692.88 × 52,116
  4. Step 4: Simplify right side
    164,432.76x = 12,856,646,134.08
  5. Step 5: Solve for x
    x = 12,856,646,134.08/164,432.76
  6. Step 6: Final answer
    x = 78,187.86

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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.