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Finding the Fourth Proportional to 212,953.97, 293,871.33 and 117,458.62

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Solution

The fourth proportional to 212,953.97, 293,871.33 and 117,458.62 is: 162,090.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,953.97 : 293,871.33 = 117,458.62 : x
  2. Step 2: Convert to fraction form
    212,953.97/293,871.33 = 117,458.62/x
  3. Step 3: Cross multiply
    212,953.97x = 293,871.33 × 117,458.62
  4. Step 4: Simplify right side
    212,953.97x = 34,517,719,410.01
  5. Step 5: Solve for x
    x = 34,517,719,410.01/212,953.97
  6. Step 6: Final answer
    x = 162,090.05

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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.