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Finding the Fourth Proportional to 194,274.89, 291,428.74 and 54,033.52

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Solution

The fourth proportional to 194,274.89, 291,428.74 and 54,033.52 is: 81,054.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,274.89 : 291,428.74 = 54,033.52 : x
  2. Step 2: Convert to fraction form
    194,274.89/291,428.74 = 54,033.52/x
  3. Step 3: Cross multiply
    194,274.89x = 291,428.74 × 54,033.52
  4. Step 4: Simplify right side
    194,274.89x = 15,746,919,787.71
  5. Step 5: Solve for x
    x = 15,746,919,787.71/194,274.89
  6. Step 6: Final answer
    x = 81,054.84

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Why These Related Problems?

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