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Finding the Fourth Proportional to 194,552.40, 291,914.37 and 82,310.07

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Solution

The fourth proportional to 194,552.40, 291,914.37 and 82,310.07 is: 123,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,552.40 : 291,914.37 = 82,310.07 : x
  2. Step 2: Convert to fraction form
    194,552.40/291,914.37 = 82,310.07/x
  3. Step 3: Cross multiply
    194,552.40x = 291,914.37 × 82,310.07
  4. Step 4: Simplify right side
    194,552.40x = 24,027,492,228.71
  5. Step 5: Solve for x
    x = 24,027,492,228.71/194,552.40
  6. Step 6: Final answer
    x = 123,501.39

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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.