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Finding the Fourth Proportional to 263,538.14, 363,534.14 and 166,712

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Solution

The fourth proportional to 263,538.14, 363,534.14 and 166,712 is: 229,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,538.14 : 363,534.14 = 166,712 : x
  2. Step 2: Convert to fraction form
    263,538.14/363,534.14 = 166,712/x
  3. Step 3: Cross multiply
    263,538.14x = 363,534.14 × 166,712
  4. Step 4: Simplify right side
    263,538.14x = 60,605,503,547.68
  5. Step 5: Solve for x
    x = 60,605,503,547.68/263,538.14
  6. Step 6: Final answer
    x = 229,968.62

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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.