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Finding the Fourth Proportional to 212,473.95, 293,208.73 and 120,610.38

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Solution

The fourth proportional to 212,473.95, 293,208.73 and 120,610.38 is: 166,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,473.95 : 293,208.73 = 120,610.38 : x
  2. Step 2: Convert to fraction form
    212,473.95/293,208.73 = 120,610.38/x
  3. Step 3: Cross multiply
    212,473.95x = 293,208.73 × 120,610.38
  4. Step 4: Simplify right side
    212,473.95x = 35,364,016,344.62
  5. Step 5: Solve for x
    x = 35,364,016,344.62/212,473.95
  6. Step 6: Final answer
    x = 166,439.30

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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.