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Finding the Fourth Proportional to 172,014.40, 258,021.60 and 160,204.60

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Solution

The fourth proportional to 172,014.40, 258,021.60 and 160,204.60 is: 240,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,014.40 : 258,021.60 = 160,204.60 : x
  2. Step 2: Convert to fraction form
    172,014.40/258,021.60 = 160,204.60/x
  3. Step 3: Cross multiply
    172,014.40x = 258,021.60 × 160,204.60
  4. Step 4: Simplify right side
    172,014.40x = 41,336,247,219.36
  5. Step 5: Solve for x
    x = 41,336,247,219.36/172,014.40
  6. Step 6: Final answer
    x = 240,306.90

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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.