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Finding the Fourth Proportional to 299,125.83, 412,794.93 and 163,162.68

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Solution

The fourth proportional to 299,125.83, 412,794.93 and 163,162.68 is: 225,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,125.83 : 412,794.93 = 163,162.68 : x
  2. Step 2: Convert to fraction form
    299,125.83/412,794.93 = 163,162.68/x
  3. Step 3: Cross multiply
    299,125.83x = 412,794.93 × 163,162.68
  4. Step 4: Simplify right side
    299,125.83x = 67,352,727,069.21
  5. Step 5: Solve for x
    x = 67,352,727,069.21/299,125.83
  6. Step 6: Final answer
    x = 225,165.20

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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.