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Finding the Fourth Proportional to 243,842.76, 365,647.50 and 103,524.84

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Solution

The fourth proportional to 243,842.76, 365,647.50 and 103,524.84 is: 155,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,842.76 : 365,647.50 = 103,524.84 : x
  2. Step 2: Convert to fraction form
    243,842.76/365,647.50 = 103,524.84/x
  3. Step 3: Cross multiply
    243,842.76x = 365,647.50 × 103,524.84
  4. Step 4: Simplify right side
    243,842.76x = 37,853,598,933.90
  5. Step 5: Solve for x
    x = 37,853,598,933.90/243,842.76
  6. Step 6: Final answer
    x = 155,237.74

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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.