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Finding the Fourth Proportional to 214,444.10, 295,927.14 and 123,797

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Solution

The fourth proportional to 214,444.10, 295,927.14 and 123,797 is: 170,836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,444.10 : 295,927.14 = 123,797 : x
  2. Step 2: Convert to fraction form
    214,444.10/295,927.14 = 123,797/x
  3. Step 3: Cross multiply
    214,444.10x = 295,927.14 × 123,797
  4. Step 4: Simplify right side
    214,444.10x = 36,634,892,150.58
  5. Step 5: Solve for x
    x = 36,634,892,150.58/214,444.10
  6. Step 6: Final answer
    x = 170,836.56

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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.