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Finding the Fourth Proportional to 138,420.70, 207,861.45 and 76,135.90

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Solution

The fourth proportional to 138,420.70, 207,861.45 and 76,135.90 is: 114,330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,420.70 : 207,861.45 = 76,135.90 : x
  2. Step 2: Convert to fraction form
    138,420.70/207,861.45 = 76,135.90/x
  3. Step 3: Cross multiply
    138,420.70x = 207,861.45 × 76,135.90
  4. Step 4: Simplify right side
    138,420.70x = 15,825,718,571.06
  5. Step 5: Solve for x
    x = 15,825,718,571.06/138,420.70
  6. Step 6: Final answer
    x = 114,330.58

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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.