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Finding the Fourth Proportional to 199,534.32, 299,213.40 and 74,787.84

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Solution

The fourth proportional to 199,534.32, 299,213.40 and 74,787.84 is: 112,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,534.32 : 299,213.40 = 74,787.84 : x
  2. Step 2: Convert to fraction form
    199,534.32/299,213.40 = 74,787.84/x
  3. Step 3: Cross multiply
    199,534.32x = 299,213.40 × 74,787.84
  4. Step 4: Simplify right side
    199,534.32x = 22,377,523,885.06
  5. Step 5: Solve for x
    x = 22,377,523,885.06/199,534.32
  6. Step 6: Final answer
    x = 112,148.75

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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.