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Finding the Fourth Proportional to 212,954.22, 293,871.68 and 117,458.87

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Solution

The fourth proportional to 212,954.22, 293,871.68 and 117,458.87 is: 162,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,954.22 : 293,871.68 = 117,458.87 : x
  2. Step 2: Convert to fraction form
    212,954.22/293,871.68 = 117,458.87/x
  3. Step 3: Cross multiply
    212,954.22x = 293,871.68 × 117,458.87
  4. Step 4: Simplify right side
    212,954.22x = 34,517,833,401.15
  5. Step 5: Solve for x
    x = 34,517,833,401.15/212,954.22
  6. Step 6: Final answer
    x = 162,090.39

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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.