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Finding the Fourth Proportional to 280,627.10, 420,940.65 and 83,635.10

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Solution

The fourth proportional to 280,627.10, 420,940.65 and 83,635.10 is: 125,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,627.10 : 420,940.65 = 83,635.10 : x
  2. Step 2: Convert to fraction form
    280,627.10/420,940.65 = 83,635.10/x
  3. Step 3: Cross multiply
    280,627.10x = 420,940.65 × 83,635.10
  4. Step 4: Simplify right side
    280,627.10x = 35,205,413,356.82
  5. Step 5: Solve for x
    x = 35,205,413,356.82/280,627.10
  6. Step 6: Final answer
    x = 125,452.65

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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.