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Finding the Fourth Proportional to 280,290.60, 420,350.94 and 102,812.04

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Solution

The fourth proportional to 280,290.60, 420,350.94 and 102,812.04 is: 154,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,290.60 : 420,350.94 = 102,812.04 : x
  2. Step 2: Convert to fraction form
    280,290.60/420,350.94 = 102,812.04/x
  3. Step 3: Cross multiply
    280,290.60x = 420,350.94 × 102,812.04
  4. Step 4: Simplify right side
    280,290.60x = 43,217,137,657.32
  5. Step 5: Solve for x
    x = 43,217,137,657.32/280,290.60
  6. Step 6: Final answer
    x = 154,186.90

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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.