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Finding the Fourth Proportional to 285,321.34, 428,010.53 and 105,454.02

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Solution

The fourth proportional to 285,321.34, 428,010.53 and 105,454.02 is: 158,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,321.34 : 428,010.53 = 105,454.02 : x
  2. Step 2: Convert to fraction form
    285,321.34/428,010.53 = 105,454.02/x
  3. Step 3: Cross multiply
    285,321.34x = 428,010.53 × 105,454.02
  4. Step 4: Simplify right side
    285,321.34x = 45,135,430,990.83
  5. Step 5: Solve for x
    x = 45,135,430,990.83/285,321.34
  6. Step 6: Final answer
    x = 158,191.57

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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.