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Finding the Fourth Proportional to 76,164.87, 114,185.34 and 51,128.58

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Solution

The fourth proportional to 76,164.87, 114,185.34 and 51,128.58 is: 76,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,164.87 : 114,185.34 = 51,128.58 : x
  2. Step 2: Convert to fraction form
    76,164.87/114,185.34 = 51,128.58/x
  3. Step 3: Cross multiply
    76,164.87x = 114,185.34 × 51,128.58
  4. Step 4: Simplify right side
    76,164.87x = 5,838,134,291.02
  5. Step 5: Solve for x
    x = 5,838,134,291.02/76,164.87
  6. Step 6: Final answer
    x = 76,651.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.