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Finding the Fourth Proportional to 212,807.57, 293,676.41 and 117,317.68

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Solution

The fourth proportional to 212,807.57, 293,676.41 and 117,317.68 is: 161,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,807.57 : 293,676.41 = 117,317.68 : x
  2. Step 2: Convert to fraction form
    212,807.57/293,676.41 = 117,317.68/x
  3. Step 3: Cross multiply
    212,807.57x = 293,676.41 × 117,317.68
  4. Step 4: Simplify right side
    212,807.57x = 34,453,435,091.93
  5. Step 5: Solve for x
    x = 34,453,435,091.93/212,807.57
  6. Step 6: Final answer
    x = 161,899.48

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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.