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Finding the Fourth Proportional to 212,367.42, 293,001.03 and 120,471.57

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Solution

The fourth proportional to 212,367.42, 293,001.03 and 120,471.57 is: 166,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,367.42 : 293,001.03 = 120,471.57 : x
  2. Step 2: Convert to fraction form
    212,367.42/293,001.03 = 120,471.57/x
  3. Step 3: Cross multiply
    212,367.42x = 293,001.03 × 120,471.57
  4. Step 4: Simplify right side
    212,367.42x = 35,298,294,095.72
  5. Step 5: Solve for x
    x = 35,298,294,095.72/212,367.42
  6. Step 6: Final answer
    x = 166,213.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.