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Finding the Fourth Proportional to 176,537.91, 264,657.60 and 76,623

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Solution

The fourth proportional to 176,537.91, 264,657.60 and 76,623 is: 114,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,537.91 : 264,657.60 = 76,623 : x
  2. Step 2: Convert to fraction form
    176,537.91/264,657.60 = 76,623/x
  3. Step 3: Cross multiply
    176,537.91x = 264,657.60 × 76,623
  4. Step 4: Simplify right side
    176,537.91x = 20,278,859,284.80
  5. Step 5: Solve for x
    x = 20,278,859,284.80/176,537.91
  6. Step 6: Final answer
    x = 114,869.71

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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.