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Finding the Fourth Proportional to 194,483.90, 291,756.99 and 82,165.16

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Solution

The fourth proportional to 194,483.90, 291,756.99 and 82,165.16 is: 123,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,483.90 : 291,756.99 = 82,165.16 : x
  2. Step 2: Convert to fraction form
    194,483.90/291,756.99 = 82,165.16/x
  3. Step 3: Cross multiply
    194,483.90x = 291,756.99 × 82,165.16
  4. Step 4: Simplify right side
    194,483.90x = 23,972,258,305.68
  5. Step 5: Solve for x
    x = 23,972,258,305.68/194,483.90
  6. Step 6: Final answer
    x = 123,260.89

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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.