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Finding the Fourth Proportional to 175,302, 262,821.78 and 56,902.68

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Solution

The fourth proportional to 175,302, 262,821.78 and 56,902.68 is: 85,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,302 : 262,821.78 = 56,902.68 : x
  2. Step 2: Convert to fraction form
    175,302/262,821.78 = 56,902.68/x
  3. Step 3: Cross multiply
    175,302x = 262,821.78 × 56,902.68
  4. Step 4: Simplify right side
    175,302x = 14,955,263,644.37
  5. Step 5: Solve for x
    x = 14,955,263,644.37/175,302
  6. Step 6: Final answer
    x = 85,311.43

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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.