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Finding the Fourth Proportional to 117,693.86, 176,624.15 and 51,153.44

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Solution

The fourth proportional to 117,693.86, 176,624.15 and 51,153.44 is: 76,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,693.86 : 176,624.15 = 51,153.44 : x
  2. Step 2: Convert to fraction form
    117,693.86/176,624.15 = 51,153.44/x
  3. Step 3: Cross multiply
    117,693.86x = 176,624.15 × 51,153.44
  4. Step 4: Simplify right side
    117,693.86x = 9,034,931,720.69
  5. Step 5: Solve for x
    x = 9,034,931,720.69/117,693.86
  6. Step 6: Final answer
    x = 76,766.38

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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.