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Finding the Fourth Proportional to 175,752, 263,672.96 and 51,093

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Solution

The fourth proportional to 175,752, 263,672.96 and 51,093 is: 76,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,752 : 263,672.96 = 51,093 : x
  2. Step 2: Convert to fraction form
    175,752/263,672.96 = 51,093/x
  3. Step 3: Cross multiply
    175,752x = 263,672.96 × 51,093
  4. Step 4: Simplify right side
    175,752x = 13,471,842,289.82
  5. Step 5: Solve for x
    x = 13,471,842,289.82/175,752
  6. Step 6: Final answer
    x = 76,652.57

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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.