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Finding the Fourth Proportional to 299,730.11, 413,622.72 and 163,761.14

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Solution

The fourth proportional to 299,730.11, 413,622.72 and 163,761.14 is: 225,987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,730.11 : 413,622.72 = 163,761.14 : x
  2. Step 2: Convert to fraction form
    299,730.11/413,622.72 = 163,761.14/x
  3. Step 3: Cross multiply
    299,730.11x = 413,622.72 × 163,761.14
  4. Step 4: Simplify right side
    299,730.11x = 67,735,328,157.10
  5. Step 5: Solve for x
    x = 67,735,328,157.10/299,730.11
  6. Step 6: Final answer
    x = 225,987.73

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Why These Related Problems?

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