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Finding the Fourth Proportional to 164,803.75, 247,123.84 and 52,469.34

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Solution

The fourth proportional to 164,803.75, 247,123.84 and 52,469.34 is: 78,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,803.75 : 247,123.84 = 52,469.34 : x
  2. Step 2: Convert to fraction form
    164,803.75/247,123.84 = 52,469.34/x
  3. Step 3: Cross multiply
    164,803.75x = 247,123.84 × 52,469.34
  4. Step 4: Simplify right side
    164,803.75x = 12,966,424,783.07
  5. Step 5: Solve for x
    x = 12,966,424,783.07/164,803.75
  6. Step 6: Final answer
    x = 78,677.97

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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.