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Finding the Fourth Proportional to 270,842.18, 406,301.10 and 113,034.50

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Solution

The fourth proportional to 270,842.18, 406,301.10 and 113,034.50 is: 169,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,842.18 : 406,301.10 = 113,034.50 : x
  2. Step 2: Convert to fraction form
    270,842.18/406,301.10 = 113,034.50/x
  3. Step 3: Cross multiply
    270,842.18x = 406,301.10 × 113,034.50
  4. Step 4: Simplify right side
    270,842.18x = 45,926,041,687.95
  5. Step 5: Solve for x
    x = 45,926,041,687.95/270,842.18
  6. Step 6: Final answer
    x = 169,567.54

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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.