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Finding the Fourth Proportional to 194,274.94, 291,428.91 and 54,033.57

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Solution

The fourth proportional to 194,274.94, 291,428.91 and 54,033.57 is: 81,054.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,274.94 : 291,428.91 = 54,033.57 : x
  2. Step 2: Convert to fraction form
    194,274.94/291,428.91 = 54,033.57/x
  3. Step 3: Cross multiply
    194,274.94x = 291,428.91 × 54,033.57
  4. Step 4: Simplify right side
    194,274.94x = 15,746,944,408.51
  5. Step 5: Solve for x
    x = 15,746,944,408.51/194,274.94
  6. Step 6: Final answer
    x = 81,054.94

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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.