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Finding the Fourth Proportional to 299,124.10, 412,792.55 and 163,160.97

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Solution

The fourth proportional to 299,124.10, 412,792.55 and 163,160.97 is: 225,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,124.10 : 412,792.55 = 163,160.97 : x
  2. Step 2: Convert to fraction form
    299,124.10/412,792.55 = 163,160.97/x
  3. Step 3: Cross multiply
    299,124.10x = 412,792.55 × 163,160.97
  4. Step 4: Simplify right side
    299,124.10x = 67,351,632,866.77
  5. Step 5: Solve for x
    x = 67,351,632,866.77/299,124.10
  6. Step 6: Final answer
    x = 225,162.84

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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.