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Finding the Fourth Proportional to 212,807.92, 293,676.89 and 117,318.04

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Solution

The fourth proportional to 212,807.92, 293,676.89 and 117,318.04 is: 161,899.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,807.92 : 293,676.89 = 117,318.04 : x
  2. Step 2: Convert to fraction form
    212,807.92/293,676.89 = 117,318.04/x
  3. Step 3: Cross multiply
    212,807.92x = 293,676.89 × 117,318.04
  4. Step 4: Simplify right side
    212,807.92x = 34,453,597,128.10
  5. Step 5: Solve for x
    x = 34,453,597,128.10/212,807.92
  6. Step 6: Final answer
    x = 161,899.98

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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.