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Finding the Fourth Proportional to 263,394.63, 363,445.47 and 159,975

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Solution

The fourth proportional to 263,394.63, 363,445.47 and 159,975 is: 220,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,394.63 : 363,445.47 = 159,975 : x
  2. Step 2: Convert to fraction form
    263,394.63/363,445.47 = 159,975/x
  3. Step 3: Cross multiply
    263,394.63x = 363,445.47 × 159,975
  4. Step 4: Simplify right side
    263,394.63x = 58,142,189,513.18
  5. Step 5: Solve for x
    x = 58,142,189,513.18/263,394.63
  6. Step 6: Final answer
    x = 220,741.74

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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.