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Finding the Fourth Proportional to 164,377.83, 246,564.06 and 52,057.88

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Solution

The fourth proportional to 164,377.83, 246,564.06 and 52,057.88 is: 78,085.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,377.83 : 246,564.06 = 52,057.88 : x
  2. Step 2: Convert to fraction form
    164,377.83/246,564.06 = 52,057.88/x
  3. Step 3: Cross multiply
    164,377.83x = 246,564.06 × 52,057.88
  4. Step 4: Simplify right side
    164,377.83x = 12,835,601,014.97
  5. Step 5: Solve for x
    x = 12,835,601,014.97/164,377.83
  6. Step 6: Final answer
    x = 78,085.96

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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.