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Finding the Fourth Proportional to 212,808.41, 293,676.50 and 117,313.01

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Solution

The fourth proportional to 212,808.41, 293,676.50 and 117,313.01 is: 161,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,808.41 : 293,676.50 = 117,313.01 : x
  2. Step 2: Convert to fraction form
    212,808.41/293,676.50 = 117,313.01/x
  3. Step 3: Cross multiply
    212,808.41x = 293,676.50 × 117,313.01
  4. Step 4: Simplify right side
    212,808.41x = 34,452,073,594.70
  5. Step 5: Solve for x
    x = 34,452,073,594.70/212,808.41
  6. Step 6: Final answer
    x = 161,892.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.