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Finding the Fourth Proportional to 212,064.46, 292,432 and 140,418.34

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Solution

The fourth proportional to 212,064.46, 292,432 and 140,418.34 is: 193,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,064.46 : 292,432 = 140,418.34 : x
  2. Step 2: Convert to fraction form
    212,064.46/292,432 = 140,418.34/x
  3. Step 3: Cross multiply
    212,064.46x = 292,432 × 140,418.34
  4. Step 4: Simplify right side
    212,064.46x = 41,062,816,002.88
  5. Step 5: Solve for x
    x = 41,062,816,002.88/212,064.46
  6. Step 6: Final answer
    x = 193,633.65

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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.