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Finding the Fourth Proportional to 212,388.84, 293,049.54 and 122,913

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Solution

The fourth proportional to 212,388.84, 293,049.54 and 122,913 is: 169,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,388.84 : 293,049.54 = 122,913 : x
  2. Step 2: Convert to fraction form
    212,388.84/293,049.54 = 122,913/x
  3. Step 3: Cross multiply
    212,388.84x = 293,049.54 × 122,913
  4. Step 4: Simplify right side
    212,388.84x = 36,019,598,110.02
  5. Step 5: Solve for x
    x = 36,019,598,110.02/212,388.84
  6. Step 6: Final answer
    x = 169,592.71

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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.