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Finding the Fourth Proportional to 212,138.41, 292,750.05 and 116,644.88

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Solution

The fourth proportional to 212,138.41, 292,750.05 and 116,644.88 is: 160,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,138.41 : 292,750.05 = 116,644.88 : x
  2. Step 2: Convert to fraction form
    212,138.41/292,750.05 = 116,644.88/x
  3. Step 3: Cross multiply
    212,138.41x = 292,750.05 × 116,644.88
  4. Step 4: Simplify right side
    212,138.41x = 34,147,793,318.69
  5. Step 5: Solve for x
    x = 34,147,793,318.69/212,138.41
  6. Step 6: Final answer
    x = 160,969.40

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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.