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Finding the Fourth Proportional to 299,124.32, 412,792.86 and 163,161.18

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Solution

The fourth proportional to 299,124.32, 412,792.86 and 163,161.18 is: 225,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,124.32 : 412,792.86 = 163,161.18 : x
  2. Step 2: Convert to fraction form
    299,124.32/412,792.86 = 163,161.18/x
  3. Step 3: Cross multiply
    299,124.32x = 412,792.86 × 163,161.18
  4. Step 4: Simplify right side
    299,124.32x = 67,351,770,133.17
  5. Step 5: Solve for x
    x = 67,351,770,133.17/299,124.32
  6. Step 6: Final answer
    x = 225,163.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.