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Finding the Fourth Proportional to 194,495.62, 291,673.28 and 82,184.54

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Solution

The fourth proportional to 194,495.62, 291,673.28 and 82,184.54 is: 123,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,495.62 : 291,673.28 = 82,184.54 : x
  2. Step 2: Convert to fraction form
    194,495.62/291,673.28 = 82,184.54/x
  3. Step 3: Cross multiply
    194,495.62x = 291,673.28 × 82,184.54
  4. Step 4: Simplify right side
    194,495.62x = 23,971,033,094.19
  5. Step 5: Solve for x
    x = 23,971,033,094.19/194,495.62
  6. Step 6: Final answer
    x = 123,247.16

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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.