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Finding the Fourth Proportional to 299,732.12, 413,625.48 and 163,763.14

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Solution

The fourth proportional to 299,732.12, 413,625.48 and 163,763.14 is: 225,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,732.12 : 413,625.48 = 163,763.14 : x
  2. Step 2: Convert to fraction form
    299,732.12/413,625.48 = 163,763.14/x
  3. Step 3: Cross multiply
    299,732.12x = 413,625.48 × 163,763.14
  4. Step 4: Simplify right side
    299,732.12x = 67,736,607,388.81
  5. Step 5: Solve for x
    x = 67,736,607,388.81/299,732.12
  6. Step 6: Final answer
    x = 225,990.49

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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.