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Finding the Fourth Proportional to 102,843.60, 154,254.96 and 69,776.16

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Solution

The fourth proportional to 102,843.60, 154,254.96 and 69,776.16 is: 104,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,843.60 : 154,254.96 = 69,776.16 : x
  2. Step 2: Convert to fraction form
    102,843.60/154,254.96 = 69,776.16/x
  3. Step 3: Cross multiply
    102,843.60x = 154,254.96 × 69,776.16
  4. Step 4: Simplify right side
    102,843.60x = 10,763,318,769.75
  5. Step 5: Solve for x
    x = 10,763,318,769.75/102,843.60
  6. Step 6: Final answer
    x = 104,657.16

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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.