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Finding the Fourth Proportional to 212,207.40, 292,793.22 and 136,665

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Solution

The fourth proportional to 212,207.40, 292,793.22 and 136,665 is: 188,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,207.40 : 292,793.22 = 136,665 : x
  2. Step 2: Convert to fraction form
    212,207.40/292,793.22 = 136,665/x
  3. Step 3: Cross multiply
    212,207.40x = 292,793.22 × 136,665
  4. Step 4: Simplify right side
    212,207.40x = 40,014,585,411.30
  5. Step 5: Solve for x
    x = 40,014,585,411.30/212,207.40
  6. Step 6: Final answer
    x = 188,563.57

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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.