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Finding the Fourth Proportional to 280,830.30, 421,245.45 and 201,114.15

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Solution

The fourth proportional to 280,830.30, 421,245.45 and 201,114.15 is: 301,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,830.30 : 421,245.45 = 201,114.15 : x
  2. Step 2: Convert to fraction form
    280,830.30/421,245.45 = 201,114.15/x
  3. Step 3: Cross multiply
    280,830.30x = 421,245.45 × 201,114.15
  4. Step 4: Simplify right side
    280,830.30x = 84,718,420,618.12
  5. Step 5: Solve for x
    x = 84,718,420,618.12/280,830.30
  6. Step 6: Final answer
    x = 301,671.23

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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.