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Finding the Fourth Proportional to 280,863.60, 420,420.60 and 202,131.60

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Solution

The fourth proportional to 280,863.60, 420,420.60 and 202,131.60 is: 302,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,863.60 : 420,420.60 = 202,131.60 : x
  2. Step 2: Convert to fraction form
    280,863.60/420,420.60 = 202,131.60/x
  3. Step 3: Cross multiply
    280,863.60x = 420,420.60 × 202,131.60
  4. Step 4: Simplify right side
    280,863.60x = 84,980,288,550.96
  5. Step 5: Solve for x
    x = 84,980,288,550.96/280,863.60
  6. Step 6: Final answer
    x = 302,567.82

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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.