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Finding the Fourth Proportional to 214,145.40, 321,218.10 and 194,462.40

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Solution

The fourth proportional to 214,145.40, 321,218.10 and 194,462.40 is: 291,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,145.40 : 321,218.10 = 194,462.40 : x
  2. Step 2: Convert to fraction form
    214,145.40/321,218.10 = 194,462.40/x
  3. Step 3: Cross multiply
    214,145.40x = 321,218.10 × 194,462.40
  4. Step 4: Simplify right side
    214,145.40x = 62,464,842,649.44
  5. Step 5: Solve for x
    x = 62,464,842,649.44/214,145.40
  6. Step 6: Final answer
    x = 291,693.60

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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.