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Finding the Fourth Proportional to 214,151.96, 295,419.16 and 145,218.12

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Solution

The fourth proportional to 214,151.96, 295,419.16 and 145,218.12 is: 200,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,151.96 : 295,419.16 = 145,218.12 : x
  2. Step 2: Convert to fraction form
    214,151.96/295,419.16 = 145,218.12/x
  3. Step 3: Cross multiply
    214,151.96x = 295,419.16 × 145,218.12
  4. Step 4: Simplify right side
    214,151.96x = 42,900,214,664.13
  5. Step 5: Solve for x
    x = 42,900,214,664.13/214,151.96
  6. Step 6: Final answer
    x = 200,326.04

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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.