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Finding the Fourth Proportional to 212,781.84, 319,294.44 and 107,608.56

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Solution

The fourth proportional to 212,781.84, 319,294.44 and 107,608.56 is: 161,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,781.84 : 319,294.44 = 107,608.56 : x
  2. Step 2: Convert to fraction form
    212,781.84/319,294.44 = 107,608.56/x
  3. Step 3: Cross multiply
    212,781.84x = 319,294.44 × 107,608.56
  4. Step 4: Simplify right side
    212,781.84x = 34,358,814,904.41
  5. Step 5: Solve for x
    x = 34,358,814,904.41/212,781.84
  6. Step 6: Final answer
    x = 161,474.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.