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Finding the Fourth Proportional to 102,028.56, 152,990.16 and 45,820.50

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Solution

The fourth proportional to 102,028.56, 152,990.16 and 45,820.50 is: 68,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,028.56 : 152,990.16 = 45,820.50 : x
  2. Step 2: Convert to fraction form
    102,028.56/152,990.16 = 45,820.50/x
  3. Step 3: Cross multiply
    102,028.56x = 152,990.16 × 45,820.50
  4. Step 4: Simplify right side
    102,028.56x = 7,010,085,626.28
  5. Step 5: Solve for x
    x = 7,010,085,626.28/102,028.56
  6. Step 6: Final answer
    x = 68,707.09

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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.