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Finding the Fourth Proportional to 175,762.76, 263,689.08 and 51,103.76

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Solution

The fourth proportional to 175,762.76, 263,689.08 and 51,103.76 is: 76,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,762.76 : 263,689.08 = 51,103.76 : x
  2. Step 2: Convert to fraction form
    175,762.76/263,689.08 = 51,103.76/x
  3. Step 3: Cross multiply
    175,762.76x = 263,689.08 × 51,103.76
  4. Step 4: Simplify right side
    175,762.76x = 13,475,503,458.94
  5. Step 5: Solve for x
    x = 13,475,503,458.94/175,762.76
  6. Step 6: Final answer
    x = 76,668.71

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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.