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Finding the Fourth Proportional to 326,138.58, 490,141 and 160,043.22

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Solution

The fourth proportional to 326,138.58, 490,141 and 160,043.22 is: 240,522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,138.58 : 490,141 = 160,043.22 : x
  2. Step 2: Convert to fraction form
    326,138.58/490,141 = 160,043.22/x
  3. Step 3: Cross multiply
    326,138.58x = 490,141 × 160,043.22
  4. Step 4: Simplify right side
    326,138.58x = 78,443,743,894.02
  5. Step 5: Solve for x
    x = 78,443,743,894.02/326,138.58
  6. Step 6: Final answer
    x = 240,522.74

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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.