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Finding the Fourth Proportional to 194,491.17, 291,736.80 and 61,381.84

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Solution

The fourth proportional to 194,491.17, 291,736.80 and 61,381.84 is: 92,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,491.17 : 291,736.80 = 61,381.84 : x
  2. Step 2: Convert to fraction form
    194,491.17/291,736.80 = 61,381.84/x
  3. Step 3: Cross multiply
    194,491.17x = 291,736.80 × 61,381.84
  4. Step 4: Simplify right side
    194,491.17x = 17,907,341,579.71
  5. Step 5: Solve for x
    x = 17,907,341,579.71/194,491.17
  6. Step 6: Final answer
    x = 92,072.77

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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.