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Finding the Fourth Proportional to 256,830.12, 354,406.32 and 143,631

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Solution

The fourth proportional to 256,830.12, 354,406.32 and 143,631 is: 198,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,830.12 : 354,406.32 = 143,631 : x
  2. Step 2: Convert to fraction form
    256,830.12/354,406.32 = 143,631/x
  3. Step 3: Cross multiply
    256,830.12x = 354,406.32 × 143,631
  4. Step 4: Simplify right side
    256,830.12x = 50,903,734,147.92
  5. Step 5: Solve for x
    x = 50,903,734,147.92/256,830.12
  6. Step 6: Final answer
    x = 198,200.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.