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Finding the Fourth Proportional to 179,763, 269,644.50 and 48,435

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Solution

The fourth proportional to 179,763, 269,644.50 and 48,435 is: 72,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,763 : 269,644.50 = 48,435 : x
  2. Step 2: Convert to fraction form
    179,763/269,644.50 = 48,435/x
  3. Step 3: Cross multiply
    179,763x = 269,644.50 × 48,435
  4. Step 4: Simplify right side
    179,763x = 13,060,231,357.50
  5. Step 5: Solve for x
    x = 13,060,231,357.50/179,763
  6. Step 6: Final answer
    x = 72,652.50

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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.