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Finding the Fourth Proportional to 299,928.26, 413,899.98 and 163,962.20

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Solution

The fourth proportional to 299,928.26, 413,899.98 and 163,962.20 is: 226,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,928.26 : 413,899.98 = 163,962.20 : x
  2. Step 2: Convert to fraction form
    299,928.26/413,899.98 = 163,962.20/x
  3. Step 3: Cross multiply
    299,928.26x = 413,899.98 × 163,962.20
  4. Step 4: Simplify right side
    299,928.26x = 67,863,951,300.76
  5. Step 5: Solve for x
    x = 67,863,951,300.76/299,928.26
  6. Step 6: Final answer
    x = 226,267.28

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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.