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Finding the Fourth Proportional to 194,734.80, 291,940.20 and 82,501.20

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Solution

The fourth proportional to 194,734.80, 291,940.20 and 82,501.20 is: 123,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,734.80 : 291,940.20 = 82,501.20 : x
  2. Step 2: Convert to fraction form
    194,734.80/291,940.20 = 82,501.20/x
  3. Step 3: Cross multiply
    194,734.80x = 291,940.20 × 82,501.20
  4. Step 4: Simplify right side
    194,734.80x = 24,085,416,828.24
  5. Step 5: Solve for x
    x = 24,085,416,828.24/194,734.80
  6. Step 6: Final answer
    x = 123,683.17

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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.