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Finding the Fourth Proportional to 299,922.76, 413,892.39 and 163,956.70

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Solution

The fourth proportional to 299,922.76, 413,892.39 and 163,956.70 is: 226,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,922.76 : 413,892.39 = 163,956.70 : x
  2. Step 2: Convert to fraction form
    299,922.76/413,892.39 = 163,956.70/x
  3. Step 3: Cross multiply
    299,922.76x = 413,892.39 × 163,956.70
  4. Step 4: Simplify right side
    299,922.76x = 67,860,430,419.51
  5. Step 5: Solve for x
    x = 67,860,430,419.51/299,922.76
  6. Step 6: Final answer
    x = 226,259.69

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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.