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Finding the Fourth Proportional to 102,016.40, 152,873.94 and 49,363.16

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Solution

The fourth proportional to 102,016.40, 152,873.94 and 49,363.16 is: 73,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,016.40 : 152,873.94 = 49,363.16 : x
  2. Step 2: Convert to fraction form
    102,016.40/152,873.94 = 49,363.16/x
  3. Step 3: Cross multiply
    102,016.40x = 152,873.94 × 49,363.16
  4. Step 4: Simplify right side
    102,016.40x = 7,546,340,760.05
  5. Step 5: Solve for x
    x = 7,546,340,760.05/102,016.40
  6. Step 6: Final answer
    x = 73,971.84

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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.