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Finding the Fourth Proportional to 515,099.20, 772,706.40 and 160,110.40

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Solution

The fourth proportional to 515,099.20, 772,706.40 and 160,110.40 is: 240,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,099.20 : 772,706.40 = 160,110.40 : x
  2. Step 2: Convert to fraction form
    515,099.20/772,706.40 = 160,110.40/x
  3. Step 3: Cross multiply
    515,099.20x = 772,706.40 × 160,110.40
  4. Step 4: Simplify right side
    515,099.20x = 123,718,330,786.56
  5. Step 5: Solve for x
    x = 123,718,330,786.56/515,099.20
  6. Step 6: Final answer
    x = 240,183.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.