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Finding the Fourth Proportional to 214,380.69, 295,824.02 and 123,765.90

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Solution

The fourth proportional to 214,380.69, 295,824.02 and 123,765.90 is: 170,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,380.69 : 295,824.02 = 123,765.90 : x
  2. Step 2: Convert to fraction form
    214,380.69/295,824.02 = 123,765.90/x
  3. Step 3: Cross multiply
    214,380.69x = 295,824.02 × 123,765.90
  4. Step 4: Simplify right side
    214,380.69x = 36,612,925,458.09
  5. Step 5: Solve for x
    x = 36,612,925,458.09/214,380.69
  6. Step 6: Final answer
    x = 170,784.62

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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.