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Finding the Fourth Proportional to 295,071.60, 442,024.20 and 161,713.20

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Solution

The fourth proportional to 295,071.60, 442,024.20 and 161,713.20 is: 242,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,071.60 : 442,024.20 = 161,713.20 : x
  2. Step 2: Convert to fraction form
    295,071.60/442,024.20 = 161,713.20/x
  3. Step 3: Cross multiply
    295,071.60x = 442,024.20 × 161,713.20
  4. Step 4: Simplify right side
    295,071.60x = 71,481,147,859.44
  5. Step 5: Solve for x
    x = 71,481,147,859.44/295,071.60
  6. Step 6: Final answer
    x = 242,250.18

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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.