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Finding the Fourth Proportional to 142,892.84, 197,191.78 and 79,229

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Solution

The fourth proportional to 142,892.84, 197,191.78 and 79,229 is: 109,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,892.84 : 197,191.78 = 79,229 : x
  2. Step 2: Convert to fraction form
    142,892.84/197,191.78 = 79,229/x
  3. Step 3: Cross multiply
    142,892.84x = 197,191.78 × 79,229
  4. Step 4: Simplify right side
    142,892.84x = 15,623,307,537.62
  5. Step 5: Solve for x
    x = 15,623,307,537.62/142,892.84
  6. Step 6: Final answer
    x = 109,335.83

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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.