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Finding the Fourth Proportional to 102,028.20, 152,969.40 and 45,822.30

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Solution

The fourth proportional to 102,028.20, 152,969.40 and 45,822.30 is: 68,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,028.20 : 152,969.40 = 45,822.30 : x
  2. Step 2: Convert to fraction form
    102,028.20/152,969.40 = 45,822.30/x
  3. Step 3: Cross multiply
    102,028.20x = 152,969.40 × 45,822.30
  4. Step 4: Simplify right side
    102,028.20x = 7,009,409,737.62
  5. Step 5: Solve for x
    x = 7,009,409,737.62/102,028.20
  6. Step 6: Final answer
    x = 68,700.71

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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.