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Finding the Fourth Proportional to 299,939.26, 413,915.16 and 163,973.20

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Solution

The fourth proportional to 299,939.26, 413,915.16 and 163,973.20 is: 226,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,939.26 : 413,915.16 = 163,973.20 : x
  2. Step 2: Convert to fraction form
    299,939.26/413,915.16 = 163,973.20/x
  3. Step 3: Cross multiply
    299,939.26x = 413,915.16 × 163,973.20
  4. Step 4: Simplify right side
    299,939.26x = 67,870,993,313.71
  5. Step 5: Solve for x
    x = 67,870,993,313.71/299,939.26
  6. Step 6: Final answer
    x = 226,282.46

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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.